If the third proportional to 8 and 24 is 'A' and the mean proportional of 4 and 16 is 'B', then the value of is:
Show answer & explanation
Correct answer: D
Explanation
The Correct answer is Option 4 i.e. 9.
Concept used:
Third proportional of a and b = b2/a
Mean proportional of a and b = √ab
Calculations:
Now,
The third proportion of 8 and 24 = A = (24)2/8
= (24 × 24)/8 = 24 × 3 = 72
The mean proportional of 4 and 16 = B = √(16 × 4)
= √64 = 8
The value of = = 9