Question

8. Show that the following numbers are in continued proportion:
(11) 36, 90, 225​

Answer 1

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We know that if a,b and c are in continued proportion.

Then b² = ac.

Let 

a = 36,

b = 90 and 

c = 225

=> 90² = 36×225

=> 8100 = 8100

Thus, given numbers are in continued proportion.

Answer 2

Answer:

36:90, 90:225

Product of means = 90`| ×90 = 8100

Product of extremes = 36|`× 225= 8100

Product of means = Product of extremes

Hence, 36:90::90:225 are continued in proportion.

$hope \: it \: helps$