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Question
Do the ratios 15 cm to 2 m and 10 sec to 3 minutes form a proportion?
Solution 1
15 cm : 2 m :: 10 sec : 3 min
15 cm : 2 × 100 cm :: 10 sec : 30 × 60 sec
15 : 200 :: 10 : 1800
3 : 40 :: 1 : 180
No, they donot form a proportion
Solution 2
Ratio of 15 cm to 2 m = 15: 2 × 100 (1 m = 100 cm)
= 3: 40
Ratio of 10 sec to 3 min = 10: 3 × 60 (1 min = 60 sec)
=1: 18
Since, 3: 40 ≠ 1: 18, therefore, the given ratios do not form a proportion.
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