There are various definitions in mathematics such as sector, segment, factors, multiples, ratios, proportions, etc.

As per the title we are discussing ratio and proportion, their examples, and the difference between proportion and ratio.

Let us start with the definition of ratio and proportion.

## What are Ratio and Proportion?

Ratio and proportion are two mathematics terms that are usually used to compare quantities. Here we are discussing the meaning of ratio and proportion.

Ratio is the comparison of any two or more quantities by division.It is denoted by ":"

When any two or more ratios are equal to each other then it is known asproportion.It is denoted by "::"

### What are the examples of ratio & proportion?

**Examples of the ratio**are-

- The ratio of girls & boys in a class is 20:22 or 10:11 where 20 stands for no. of girls while 22 stands for no. of boys.
- The concrete mix ratio is 1:2:4. It means 1 stand for the quantity of cement, 2 stands for the sand & 4 stands for aggregate (stone).
- The ratio of male & female teachers in school is 2:5 or 12:30.

**Examples of the proportion**are-

- The ratio of girls & boys in
**Class A**(1:2) is equal to the ratio of girls & boys in**Class B**(6:12) so they are in proportion. - The ratio of male & female teachers in
**School A**is (3:2) &**School B**is (30:20) are equal so they are in proportion.

### What is the difference between ratio and proportion with an example?

- The ratio is a comparison of two or more quantities by division. While two or more ratios are equal to each other then it is known as proportion.
- Examples of ratios are (2:3), (5:4), (2:5), etc. While the examples of proportions are (1:2)::(8:16) and (12:18)::(2:3), etc.

### How to find the ratio and proportion?

To find the ratio we should divide the given quantities and for finding the proportion we should simplify the given ratio in the lowest form.

For a better understanding let's take some examples:

**Find the ratio of men to women if the number of men in the village is 1200 & number of women is 1100.**

Solve:

Number of men = 1200

Number of women = 1100

The ratio of men to women = 1200 / 1100

= 12 / 11

= 12:11

We get a ratio between the number of men to the number of women is 12:11.

The ratio of men to women = 1200 / 1100

*{After simplifying we get the lowest form}**=*(1200÷100) / (1100÷100)= 12 / 11

= 12:11

We get a ratio between the number of men to the number of women is 12:11.

**Find the ratio between 1 hour to 20 minutes.**

Solve:

*{First, we will convert an hour into a minute because we need the same units to find the ratio}*

We know that,

1 hour = 60 minutes

Now we will find the ratio between 60 minutes to 20 minutes.

= 60 / 20

= (60÷20) / (20÷20)

= 3 / 1

= 3:1

We get the ratio of 1 hour to 20 minutes is 3:1.

**Find the ratios in proportion 25cm: 100cm & 100m: 400m**

Solve:

To find the ratios in proportion first we need to simplify the given ratios.

= 25cm : 100cm & 100m : 400m

= 25 / 100 & 100 / 400

= (25÷25)/(100÷25)&(100÷100)/(400÷100)

= 1 / 4 & 1 / 4

= 1:4 & 1:4

*{Both ratios are equal so they are in proportion}*

= 1:4 :: 1:4

**Are the ratios 20g: 10g & 2Kg: 1Kg in proportion.**

Solve:

**=**20g : 10g & 2kg : 1kg

**=**20 / 10 & 2 / 1

= (20÷10) / (10÷10) & 2 / 1

= 2 / 1 & 2 / 1

= 2:1 & 2:1

Yes, both ratios are in proportion.