Question
Show that the following numbers are in continued proportion:
48, 60, 75

Answer

The given numbers 48, 60, 75 are in
Continued proportion if 48 : 60 :: 60 : 75.
Now, product of means = 60 × 60 = 3600
And, product of extremes = 48 × 75 = 3600
$\therefore$ Product of means = Product of extremes
So, 48 : 60 :: 60 : 75
Hence, the numbers 48, 60, 75 are in continued proportion.

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