Question

Write the mean and extreme terms in the following ratios and check whether they are in proportion.

(i) 78 litres is to 130 litres and 12 bottles are to 20 bottles

(ii) 400 gm is to 50 gm and 25 rupees is to 625 rupees.

Answer 1

(i) 78 : 130 :: 12 : 20

Extreme terms are 78 and 20.

Mean terms are 130 and 12.

Product of Extremes = 78 × 20 = 1560

Product of Means = 130 × 12 = 1560

Product of Extremes = Product of means

It is in proportion.

(ii) 400 : 50 :: 25 : 625

Product of extremes = 400 × 625 = 250,000

Product of means = 50 × 25 = 1250

Here product of extremes ≠ product of means

400 : 50 and 25 : 625 are not in proportion.