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What is the condition for two ratios to be equal?
- a)Product of means is equal to antecedents.
- b)Product of extremes is equal to consequents.
- c)Antecedents are equal to consequents.
- d)Product of means is equal to product of extremes.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
What is the condition for two ratios to be equal?a)Product of means is...
Product of means = Product of extremes.
This statement tells that when the product of the extremes(1st and last number) and the means(middle numbers) are equal to each other. the 2 ratios are equivalent ratios.
For e.g. - 4:6, 2:3
Here we see that the extremes, which are 4 and 3 = 4X3 = 12
And, the means, which are 6 and 2 = 6X2 = 12
Thus, the ratios 4:6 and 2:3 are equivalent.
Hope that helps!
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Community Answer
What is the condition for two ratios to be equal?a)Product of means is...
Explanation:
To understand the condition for two ratios to be equal, let's first understand what a ratio is.
A ratio is a comparison of two quantities or numbers. It is expressed in the form of a fraction, where the first term is called the antecedent and the second term is called the consequent. For example, if we have a ratio of 2:3, 2 is the antecedent and 3 is the consequent.
Now, let's consider two ratios: a:b and c:d.
The condition for these two ratios to be equal is when the product of means (b * c) is equal to the product of extremes (a * d). This can be represented as:
(b * c) = (a * d)
This condition can be explained using the concept of cross-multiplication.
Cross-multiplication:
When two ratios are equal, we can cross-multiply and set the products equal to each other.
For example, if we have two ratios 2:3 and 4:6, we can cross-multiply:
(2 * 6) = (3 * 4)
12 = 12
Since the products are equal, we can conclude that the ratios 2:3 and 4:6 are equal.
Conclusion:
Hence, the correct condition for two ratios to be equal is when the product of means is equal to the product of extremes.
To understand the condition for two ratios to be equal, let's first understand what a ratio is.
A ratio is a comparison of two quantities or numbers. It is expressed in the form of a fraction, where the first term is called the antecedent and the second term is called the consequent. For example, if we have a ratio of 2:3, 2 is the antecedent and 3 is the consequent.
Now, let's consider two ratios: a:b and c:d.
The condition for these two ratios to be equal is when the product of means (b * c) is equal to the product of extremes (a * d). This can be represented as:
(b * c) = (a * d)
This condition can be explained using the concept of cross-multiplication.
Cross-multiplication:
When two ratios are equal, we can cross-multiply and set the products equal to each other.
For example, if we have two ratios 2:3 and 4:6, we can cross-multiply:
(2 * 6) = (3 * 4)
12 = 12
Since the products are equal, we can conclude that the ratios 2:3 and 4:6 are equal.
Conclusion:
Hence, the correct condition for two ratios to be equal is when the product of means is equal to the product of extremes.
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What is the condition for two ratios to be equal?a)Product of means is equal to antecedents.b)Product of extremes is equal to consequents.c)Antecedents are equal to consequents.d)Product of means is equal to product of extremes.Correct answer is option 'D'. Can you explain this answer?
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