Finding the Third Proportional to 591 and 717
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Solution
The third proportional to 591 and 717 is: 869.86
Step by Step Solution
- Step 1: Write the proportion equation
591 : 717 = 717 : x - Step 2: Convert to fraction form
591/717 = 717/x - Step 3: Cross multiply
591x = 717 × 717 - Step 4: Simplify right side
591x = 514,089 - Step 5: Solve for x
x = 514,089/591 - Step 6: Final answer
x = 869.86
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Why These Related Problems?
These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.