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.
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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