Question : The ratio of the third proportional to 16 & 40 and the mean proportional between 10 & 40 is:
Option 1: 5 : 1
Option 2: 1 : 5
Option 3: 4 : 1
Option 4: 1 : 4
Correct Answer: 5 : 1
Solution : The third proportional to 16 and 40 is, = $\frac{(40)^2}{16}$ = 100 The mean proportional between 10 and 40 is, = $\sqrt{10 \times 40}$ = 20 The required ratio = 100 : 20 = 5 : 1 Hence, the correct answer is 5 : 1.
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