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Finding the Third Proportional to 337,478 and 712,902

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Solution

The third proportional to 337,478 and 712,902 is: 1,505,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,478 : 712,902 = 712,902 : x
  2. Step 2: Convert to fraction form
    337,478/712,902 = 712,902/x
  3. Step 3: Cross multiply
    337,478x = 712,902 × 712,902
  4. Step 4: Simplify right side
    337,478x = 508,229,261,604
  5. Step 5: Solve for x
    x = 508,229,261,604/337,478
  6. Step 6: Final answer
    x = 1,505,962.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.