Question

show that the following number are in continued proportion 36,90,225 ;48,60,75 ;16,84,441

Answer 1

If a, b, c are in continued proportion then b² = ac

1) 36 , 90 , 225

90² = 36 × 225

8100 = 8100 .

2) 48, 60 , 75

60² = 48 × 75

3600 = 3600 .

3) 16 , 84 , 441

84² = 16 * 441

7056 = 7056.

Therefore, 36,90,225 ;48,60,75 ;16,84,441 are in continued proportion