Question : The mean proportion between 35 and a certain number N is four times the mean proportion between 14 and 30. The number N is:
Option 1: 192
Option 2: 75
Option 3: 124
Option 4: 92
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Correct Answer: 192
Solution :
Given: The number is $N$.
So $\sqrt {35\times N}=4\sqrt{14\times 30}$
Squaring both sides
⇒ $35N= 16\times420$
⇒ $N=16\times 12$
⇒ $N=192$
Hence, the correct answer is 192.
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