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Finding the Third Proportional to 258,902 and 347,691

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Solution

The third proportional to 258,902 and 347,691 is: 466,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,902 : 347,691 = 347,691 : x
  2. Step 2: Convert to fraction form
    258,902/347,691 = 347,691/x
  3. Step 3: Cross multiply
    258,902x = 347,691 × 347,691
  4. Step 4: Simplify right side
    258,902x = 120,889,031,481
  5. Step 5: Solve for x
    x = 120,889,031,481/258,902
  6. Step 6: Final answer
    x = 466,929.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.