show that the following number are in continued proportion 36,90,225 ;48,60,75 ;16,84,441
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If a, b, c are in continued proportion then b² = ac
1) 36 , 90 , 225
90² = 36 × 225
8100 = 8100 .
2) 48, 60 , 75
60² = 48 × 75
3600 = 3600 .
3) 16 , 84 , 441
84² = 16 * 441
7056 = 7056.
Therefore, 36,90,225 ;48,60,75 ;16,84,441 are in continued proportion
1) 36 , 90 , 225
90² = 36 × 225
8100 = 8100 .
2) 48, 60 , 75
60² = 48 × 75
3600 = 3600 .
3) 16 , 84 , 441
84² = 16 * 441
7056 = 7056.
Therefore, 36,90,225 ;48,60,75 ;16,84,441 are in continued proportion
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