Question

Determine if 50 cm:3 m and 30 secs:3 mins are in proportion. Write the middle terms and extreme terms if they are in proportion.
WITH SOLUTION

Answer 1

Question:-

• Varify if the given ratios are in proportion.

Answer:-

Solution for the correct answer:-

To test if 2 ratios are in proportion, Product of extreme must be equally to the product of means.

Means= The middle ratio

Extreme= The corner ratio

But before solving it we need to equalise both the sides of each ratio so that the units could be cancelled.

• => 50cm:3m
• => 1m=100 cm
• => 3m=3×100 cm
• =>300 cm

:. 50:300

• =>30 sec:3min
• =>1min=60 sec
• =>3min = 3×60 sec
• =>180sec

:.30:180

Now let's solve and find if the given ratios are in proportion.

• =>50:300::30:180

Means=300×30

Extreme=50×180

• =>300×30=50×180
• =>9000=9000
• =>0=0

hence both sides are equally which means that 50:300 and 30:180 are in proportion.

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What is proportion?

• Two equal ratios where means is equal to extreme is called a proportion.