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Finding the Third Proportional to 478,755 and 728,082

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Solution

The third proportional to 478,755 and 728,082 is: 1,107,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,755 : 728,082 = 728,082 : x
  2. Step 2: Convert to fraction form
    478,755/728,082 = 728,082/x
  3. Step 3: Cross multiply
    478,755x = 728,082 × 728,082
  4. Step 4: Simplify right side
    478,755x = 530,103,398,724
  5. Step 5: Solve for x
    x = 530,103,398,724/478,755
  6. Step 6: Final answer
    x = 1,107,254.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.