Question
Show that the following numbers are in continued proportion:
$36, 90, 225$
$36, 90, 225$
✓
Answer
The given numbers $36, 90, 225$ are in
Continued proportion of $36 : 90 :: 90 : 225$
Now, product of means $= 90 \times 90 = 8100$
And, product of extremes $= 36 \times 225 = 8100$
$\therefore$ Product of means = Product of extremes
So, $36 : 90 :: 90 : 225$
Hence, the numbers $36, 90, 225$ are in continued proportion.
Continued proportion of $36 : 90 :: 90 : 225$
Now, product of means $= 90 \times 90 = 8100$
And, product of extremes $= 36 \times 225 = 8100$
$\therefore$ Product of means = Product of extremes
So, $36 : 90 :: 90 : 225$
Hence, the numbers $36, 90, 225$ are in continued proportion.
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