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Finding the Third Proportional to 323,739 and 479,327

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Solution

The third proportional to 323,739 and 479,327 is: 709,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,739 : 479,327 = 479,327 : x
  2. Step 2: Convert to fraction form
    323,739/479,327 = 479,327/x
  3. Step 3: Cross multiply
    323,739x = 479,327 × 479,327
  4. Step 4: Simplify right side
    323,739x = 229,754,372,929
  5. Step 5: Solve for x
    x = 229,754,372,929/323,739
  6. Step 6: Final answer
    x = 709,690.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.