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Visual Proportionality:
We already learned this in the earlier class.
Proportion:
Two ratios are said to be in proportion if they are equal in their simplest forms. We use the symbol \(::\) to show that they are proportional. So, \(a : b :: c : d\) indicate that they are proportional. It means \(a : b = c : d\).
Example:
Check whether the given ratios are in proportion.
(a) \(2:4\) and \(8:16\).
Reducing the first ratio to the simplest form by dividing each term by the HCF.
(a) \(2:4\) and \(8:16\).
Reducing the first ratio to the simplest form by dividing each term by the HCF.
Reducing the second ratio to the simplest form by dividing each term by the HCF.
Here the simplest form of the given ratios are equal. Thus, the two ratios are in proportion.
(b) \(9:4\) and \(18:6\).
The first ratio \(9:4\) is already in simplest form. So let us reduce the second ratio to the simplest form.
Note that the simplest form of the given ratios are not equal. Thus, the two ratios are not in proportion.
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