• Skip to primary navigation
  • Skip to main content
  • Skip to primary sidebar
  • Skip to footer
Stay Informed Group

Stay Informed Group

Stay informed with opportunities online

  • International Scholarships
    • PhD Scholarships
    • Masters Scholarships
    • Undergraduate Scholarships
    • Scholarships by University
  • Courses
    • Online Courses
  • Schools
    • University Acceptance Rates
    • Universities and Colleges
    • Primary and Secondary Schools
  • Tips for Students
  • Careers and Jobs
  • Money
  • People
  • Tech
  • Top Lists
  • Place an Advert

Introduction to ratio and proportion: Definition, types, and examples

May 9, 2022 by Bassey James Leave a Comment

Ratio and proportion are widely used in algebra to find the division and x term. The ratio is totally relevant to fractions as all the ratios can be written in the form of p/q. on the other hand, the proportion has two ratios with an equivalent sign among them.

 Ratio & proportion are used in various fields of mathematics such as algebra, geometry, triangles, etc. it is usually used to compare two terms like height, distance, mass, etc.

In this article, we’ll discuss the definition and types of ratio & proportion along with a lot of examples.

ratio and proportion

Table of Contents

  1. What are ratios & proportions?
    1. Ratios
    2. Proportion
  2. Types of ratio
    1. 1. Part to whole ratio
    2. 2. Part to part ratio
  3. Types of proportion
    1. 1. Direct proportion
    2. 2. Inverse proportion
  4. Examples of ratios and proportions
    1. Example 1: For ratios
      1. Solution
    2. Example 2: For the proportion
    3. Solution
  5. Summary
  6. Recommendations:
    1. Related

What are ratios & proportions?

Let’s discuss ratios and proportions briefly.

Ratios

In mathematics, the term used to compare two values is known as ratios. The comparison of the terms tells us how much one term there is compared to the other term. In ratios, the terms should have the same units.

It is usually denoted by the “:” sign. Ratios can be written in the form of u/v, where v is not equal to zero.

For example, to compare the male and female students in a class ratios are used. If there are forty students in a classroom, where 16 are male students and 24 are female students. Then the ratio form is male students : female students = 16 : 24.

In the form of a fraction, it can be written as 16/24. Now simplify the terms to compare the male & female students, 2 : 3 or 2/3. To compare male students to female students simply rewrite ratios with the number of females first as 3:2 or 3/2.

Proportion

In algebra, a proportion is an equation of two ratios to tell you how two ratios are equal to one another. Proportion can also be written in the form of fractions. The two possible ways to write a proportion are:

  1. s : t :  : u : v
  2. s / t = u / v

Types of ratio

In algebra, there are two commonly used types of ratios.

  1. Part to whole ratio
  2. Part to part ratio

1. Part to whole ratio

If two terms or things are compared in such a way that one thing is taken from the whole, then it will be the part to whole ratio. For example, if you take a piece of bread from the whole packet, then it will be the part to whole ratio.

2. Part to part ratio

A part to part ratio is that type of ratio in which different terms or things are compared. It can give the comparison of two groups. For example, the ratio between army and police, the ratio of female students in class 8 to female students in class 9 are a few examples of this type of ratio,

Types of proportion

Proportions are of two types.

  1. Direct proportion
  2. Inverse proportion

1. Direct proportion

Direct proportion is a type of proportion in which an increase in one object causes an increase in the other object or a decrease in one object causes a decrease in another object. For example, you have two objects u & v where u is the number of workers and v is the working of the construction of the wall.

If the number of workers increases then the working speed of the wall increase, or if you hire fewer workers or decrease the worker then the work should be decreased. It is a direct proportion as both u & v increase or decrease with an increase or decrease in one quantity.

2. Inverse proportion

Inverse proportion is the other type of proportion in which an increase in one quantity causes a decrease in the other quantity or a decrease in one quantity causes a decrease in another quantity. For example, x and y are two terms, where x is the number of persons in a camp and y is the food for 40 days.

If the amount of food increases then the food for 40 days will decrease, or if the number of person decreases then the amount of food should be increased.

Examples of ratios and proportions

Following are a few examples of ratio and proportions to learn how to calculate them.

Example 1: For ratios

In a wooden box, there are 16 balloons. From these 16 balloons, 7 are pink, 5 are purple, and 4 are white. Calculate the ratio of:

  • Pink balloons to purple balloons
  • purple balloons to total balloons
  • white balloons to pink balloons

Solution

Step 1: Write the given data of balloons.

Total balloons = 16

Pink balloons = 7

purple balloons = 5

White balloons = 4

Step 2: Find the pink balloons to purple balloons

Number of pink balloons = 7

Number of purple balloons = 6

The ratio is,

7 : 6

or

7/6

Step 3: Find the ratio of purple balloons to total balloons

Number of total balloons = 16

Number of purple balloons = 5

Difference among total balloons and purple balloons = 16 – 5 = 11

Now the ratio is,

5: 11

Or

5/ 11

Step 4: Now find the ratio of white balloons to pink balloons

Number of white balloons = 4

Number of pink balloons = 7

Ratio is,

4 : 7

Or

4/ 7

Example 2: For the proportion

15 workers are required to construct a bridge in 30 days, how many workers are required to construct the same bridge in 14 days.

Solution

Step 1: Write the given data of workers & days.

Workers required to build a bridge = 15

Days = 30

Workers required to build the same bridge in 14 days = x

Step 2: Write the workers and days in the form of proportion.

workers : days : : workers : days

15 : 30 : : x : 14

Step 3: Write the ratios in the form of fractions with an equality sign among them to calculate the value of x.

15/30 = x/14

Step 4: To find the value of x, use cross multiplication and simplify the above expression.

15/30 = x/14

1/2 = x/14

1 * 14 = x * 2

14 = 2x

2x = 14

x = 14/2

x = 7

Workers required to build the same bridge in 14 days = 15 + 7 = 22

Hence, 7 more workers are required to construct the bridge in 14 days.

You can also use a proportion calculator to find the x values of the given problems in a fraction of seconds. Follow the below steps to calculate the x value.

Step 1: Input the data values.

ratio and proportion

Step 2: Press the calculate button.

ratio and proportion

Step 3: Press the show more button to view the solution with steps.

Summary

Now you are witnessed that the ratios and proportions are not a difficult topic. You can grab all the basics of ratio & proportion just by learning the above post. Now you can solve any problem of ratios & proportions easily by following the above-mentioned examples.

Recommendations:

  • What Are The 14 Punctuation Marks for Effect English Writing?
  • Definition Of Motivation In Psychology
  • 9 Month Lvn Program: Best Schools, Requirements, Jobs, Licensing
  • How Many Semesters In A Year At University? All you need to know
  • Reasons Why Is Education Important? All You need to Know

Related

About Bassey James

Bassey Chimezirim James is an ardent writer who has written for top education and tech websites, which includes the likes of World Scholarship Forum, After School Africa, Gadget Wrights, etc. James is a public speaker; a graduate of Physics and the Team for the http://stayinformedgroup.com/ Project.

Reader Interactions

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Primary Sidebar

Footer

25 Innovators Examples

15 Media Literacy Examples

25 Best Passion Examples

26 Best Honesty Examples

What is Nationalism and Patriotism (Nationalism Vs Patriotism)

25 Free Printable Bible Study Lessons with Questions and Answers PDF

List of Websites for Free College Textbooks PDF

How To Make Money Online As A Student | Top 10

What is an Academic Reference?

Financial Independence Starts Here: A College Student’s Guide to Money Mastery

How to Write a Dissertation: Step-by-Step Guide

Do You Get Paid for a Work Placement at University?

How Many Degrees Can You Get?

What Are The 12 Ivy League Schools in 2023?

Why Are Stanford Duke and MIT not Ivy League Schools?

What are the Public Ivy League Schools in 2023?

Top 10 Marketable Careers in the World in 2023

Engaging with Parents and Teachers: A Critical Aspect of School Board Elections

5 Tips for Effective Time Management in Online Learning

The Impact of Alternative Certification Programs on Student Achievement

20 Best Social Media Examples

25 Innovators Examples

15 Media Literacy Examples

25 Best Passion Examples

26 Best Honesty Examples

What is Nationalism and Patriotism (Nationalism Vs Patriotism)

12 Angel Number Meaning: All you need to know

8 Angel Number Meaning: All you need to know

318 Angel Number Meaning: All you need to know

1220 Angel Number Meaning: All you need to know

1224 Angel Number Meaning: All you need to know

25 Free Printable Bible Study Lessons with Questions and Answers PDF

35 Angel Number Meaning: All you need to know

1020 Angel Number Meaning: All you need to know

317 Angel Number Meaning: All You Need To Know

7373 Angel Number Meaning: All You Need to Know

List of Websites for Free College Textbooks PDF

231 Angel Number Meaning: All You Need to Know

How To Make Money Online As A Student | Top 10

0101 Angel Number Meaning: All You Need to Know

Top 10 Marketable Careers in the World in 2023

What Jobs can you Get at 14 Years Old?

Is Real Estate Investment Trusts A Good Career Path?

Five Alternative Careers You Can Consider With an Education Degree

CDI College Montreal Work Permit in 2023

12 Free Online Counselling Courses with Certificate

Motivation Letter For Job Application Example 2023

100 Strategic Questions to Ask Senior Leaders

110 Good Questions to Ask the CEO

20 Fully Funded PhD Programs in 2023 – 2024

16 Best Jobs in Canada for Immigrants in 2023

Military Enlistment Age Limits in 2023

What Companies are in the Consumer Non-Durables Field? Top 10

Google Apprenticeship Program 2023 | Learn and get paid

20 Best Places That Hire You at 15 Years Old or Less 

Is Technology A Good Career Path For You?

Top 10 Reasons Why People Leave Jobs

Why Should a Firm Hire Dedicated Development Team?

6 Medical Industry Jobs You Might Not Have Considered

What is staff augmentation for?

Copyright © 2023 Stay Informed Group

  • About Us
  • Contact Us
  • Disclaimer
  • Privacy Policy
  • DMCA Policy