Explain ratio and proportion with example.

Ratio:

The ratio is used to compare two numbers. It can be calculated by simply dividing one number with another.

For example, if there are 4 oranges and 4 apples in a bowl of fruit, then the ratio of oranges to apples is 4 to 3.

We can represent it as 4 : 3

It simply means you have $\frac{4}{3}$ times as many oranges as apples.

Proportion:

A proportion is simply a statement that two ratios are equal.

It can be written in two ways:

as two equal fractions $\frac{a}{b} = \frac{c}{d}$; or using a colon, a:b = c:d. 'a' and 'd' are known as extremes and 'b' and 'c' are known as means

For example,

$3:2 = 6:4$

Proportion Rule: Product of extremes $=$ Product of means.

In  $\frac{a}{b} = \frac{c}{d}$, we get ad $=$ bc.

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Updated on: 10-Oct-2022

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