Correct Answer - Option 3 : 24
Given:
Two numbers are 48 and 12.
Concept Used:
When a, b, c and d are called in proportion, where a and d are called extremes and b and c are called means.
Product of extremes = Product of means
i.e. ad = bc
and Mean Proportional of a and b is √(a × b)
Calculation:
Let the mean proportion of 48 and 12 be x.
Here, a = 48 and b = 12
So, a ∶ x = x ∶ b
⇒ a/x = x/b
⇒ a × b = x2
⇒ x = √(a × b)
⇒ x = √(48 × 12)
⇒ x = √(576)
⇒ x = 24
∴ The mean proportional of 48 and 12 is 24.
