Question

Show 14, 60,75 in continued proportion
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Answer 1

Answer:

Step-by-step explanation:

Since 14 , 60 , and 75 are in continued proportion then

14 : 60 :: 60 : 75

if a : b  = b : c  i.e. a/b = b/c i.e. b² = ac

if a , b , c are in continuous proportion then the middle term b is called the mean proportion between 'a' and 'c' , 'a' is the first proportion and 'c' is the third proportion

Thus , if b is the mean proportion between 'a' and 'c'

then b² = ac i.e. b = √(ac)

⇒ 60² = 14 × 75

⇒ 60 = √1050

⇒ 60 ≠ 32

Hence they are not in proportion