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Finding the Third Proportional to 238,934 and 345,393

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Solution

The third proportional to 238,934 and 345,393 is: 499,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,934 : 345,393 = 345,393 : x
  2. Step 2: Convert to fraction form
    238,934/345,393 = 345,393/x
  3. Step 3: Cross multiply
    238,934x = 345,393 × 345,393
  4. Step 4: Simplify right side
    238,934x = 119,296,324,449
  5. Step 5: Solve for x
    x = 119,296,324,449/238,934
  6. Step 6: Final answer
    x = 499,285.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.