Finding the Third Proportional to 450 and 542
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Solution
The third proportional to 450 and 542 is: 652.81
Step by Step Solution
- Step 1: Write the proportion equation
450 : 542 = 542 : x - Step 2: Convert to fraction form
450/542 = 542/x - Step 3: Cross multiply
450x = 542 × 542 - Step 4: Simplify right side
450x = 293,764 - Step 5: Solve for x
x = 293,764/450 - Step 6: Final answer
x = 652.81
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.