Q.15. Show that following are in continued proportion
a) 36, 90, 225
b) 16, 84, 441
Dear Student,
Three numbers a, b and c are said to be in continued proportion if a : b :: b : c. This implies that b2 = ac, as product of means = product of extremes.
a) For 36, 90 and 225,
(90)2 = 8100 and 36 x 225 = 8100
Thus, 36, 90 and 225 are in continued proportion.
b) For 16, 84 and 441,
(84)2 = 7056 and 16 x 441 = 7056
Thus, 16, 84 and 441 are in continued proportion.
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