If the LCM of two numbers a and b is 60 and their HCF is 15. Determine their mean proportion.

30

LCM = 60

HCF = 15

Product of two numbers ( a × b ) = LCM × HCF

Mean proportion = \(\sqrt {ab}\)

The first number = a

Second number = b

⇒ a × b = LCM × HCF

⇒ a × b = 60 × 15

⇒ a × b = 900

The mean proportion is

⇒ \(\sqrt {ab}\)=\(\sqrt {900}\)

⇒ 30