T1 and T2 are the third proportional to 16, 36 and 24, 60, respectively. Find the ratio of T1 to T2.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 27 : 50.
a : b = b : c → c = b2 / a
T1 is third proportional to 16 and 36 ⇒ T1 = 362 / 16 = 1296 / 16 = 81
T2 is third proportional to 24 and 60:
T2 = 602 / 24 = 3600 / 24 = 150
Ratio T1 : T2 = 81 : 150 = 27 : 50