What is the ratio of the mean proportional between 24 and 150 and the third proportional between 12 and $6\sqrt{5}$?
Answer & explanation
Correct answer: option 4
Mean Proportional = √24 x 150 = √3600 = 60.
The third proportional x
12 : 6√5 :: 6√5 : x
⇒ 12x = 6√5 x 6√5
⇒ 12x = 180
⇒ x = 15,
The required ratio = 60 : 15 = 4 : 1.