Finding the Third Proportional to 420 and 532
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Solution
The third proportional to 420 and 532 is: 673.87
Step by Step Solution
- Step 1: Write the proportion equation
420 : 532 = 532 : x - Step 2: Convert to fraction form
420/532 = 532/x - Step 3: Cross multiply
420x = 532 × 532 - Step 4: Simplify right side
420x = 283,024 - Step 5: Solve for x
x = 283,024/420 - Step 6: Final answer
x = 673.87
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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.