Question

Are the ratios in proportion 3 : 5 and 45 : 75​

Answer 1

Answer:

Yes

Step-by-step explanation:

If you do 3/5=0.6 and if you do 45/75=0.6 so it is yes

Answer 2

Answer :-

• Yes, the ratios are in proportion.

To find :-

• Whether the ratios 3 : 5 and 45 : 75 are in proportion.

Step-by-step explanation :-

• Here, two ratios have been given to us. We have to find out whether they are in proportion.

We know that, in a proportion,

$\underline{\boxed{\sf Product \: of \: extremes = Product \: of \: means}}$

Here,

• Extremes = 3 and 75.
• Means = 5 and 45.

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Hence,

$\rm Product \: of \:extremes = 3 \times 75 = 225.$

$\rm Product \:of \:means = 5 \times 45 = 225.$

We observe that :-

• Here, the product of means is not equal to the product of extremes.

• Hence, the given ratios are in proportion.

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Know more :-

• There is one more method to check whether the given ratios are in proportion or not!

• In this method, we just convert the ratios into fractions and then reduce them to their simplest form.

• After this, we check if the fractions are equal or not. If the fractions are equal, then the given ratios are in proportion and if they are not equal, then the given ratios are not in proportion.