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Finding the Third Proportional to 218,539 and 337,514

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Solution

The third proportional to 218,539 and 337,514 is: 521,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,539 : 337,514 = 337,514 : x
  2. Step 2: Convert to fraction form
    218,539/337,514 = 337,514/x
  3. Step 3: Cross multiply
    218,539x = 337,514 × 337,514
  4. Step 4: Simplify right side
    218,539x = 113,915,700,196
  5. Step 5: Solve for x
    x = 113,915,700,196/218,539
  6. Step 6: Final answer
    x = 521,260.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.