State whether the following ratios are proportional or not:

(i) 20 : 45 and 4 : 9

(ii) 9 : 27 and 33 : 11

(i) 20 : 45 and 4 : 9

Product of extremes = 20 × 9 = 180

Product of means = 45 × 4 = 180

Here, the product of extremes = Product of means

Hence, the given ratios are in proportion.

(ii) 9 : 27 and 33 : 11

Product of extremes = 9 × 11 = 99

Product of means = 27 × 33 = 891

Here, the product of extremes ≠ Product of means

Hence, the given ratios are not in proportion.