Ratio and Proportion: 9 : X :: 5 : 300

Rationale

9 : 540 :: 5 : 300

To solve the ratio proportion 9 : X :: 5 : 300, we find that X equals 540. This is derived by establishing a cross-multiplication between the ratios, leading us to the equation 9 * 300 = 5 * X, which simplifies to X = 540.

A (540) CORRECT

This choice is correct because, when we set up the proportion 9/X = 5/300 and cross-multiply, we calculate 9 * 300 = 2700. Dividing 2700 by 5 gives us the correct value of X, which is 540.

B (600) YOUR ANSWER

Choosing 600 would imply that 9 : 600 is equivalent to 5 : 300. However, cross-multiplying yields 9 * 300 = 2700 and 5 * 600 = 3000, indicating that these ratios do not match, thus 600 cannot be the correct answer.

C (450) YOUR ANSWER

Selecting 450 suggests that 9 : 450 equates to 5 : 300. However, performing the cross-multiplication gives us 9 * 300 = 2700 and 5 * 450 = 2250, showing that these two ratios are not equivalent, making 450 incorrect.

D (500) YOUR ANSWER

If we consider 500, we would expect 9 : 500 to equal 5 : 300. Yet, on cross-multiplying, we find 9 * 300 = 2700 and 5 * 500 = 2500, which are not equal, confirming that 500 is also not the right choice.

Conclusion

The solution to the ratio proportion 9 : X :: 5 : 300 reveals that X must be 540 to maintain equivalence between the two ratios. The other options fail to fulfill the condition of equal cross-products, clearly illustrating that only 540 is the valid answer in this proportional relationship.

Ratio and Proportion: 9 : X :: 5 : 300

9 : 540 :: 5 : 300

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