Question

Show that 48,60 and 75 are in continued proportion

Answer 1

Answer:

48:60:75

= 48:60::60:75

Product of extremes = Product of means

⇒ 48 x 75 = 60 x 60

⇒ 3600 = 3600

Hence, 48,60 and 75 are in continued proportion.

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Answer 2

Answer:

Step-by-step explanation:

Let 48, 60 and 75 are in continued proportion,

Then 48 : 60 = 60 : 75

Product of extremes = Product of means

= (48 × 75) / (60 × 60 )

= 3600 / 3600

= 1 .

Hence we proved that ,48,60 and 75 are in continued proportion.