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Finding the Third Proportional to 258,018 and 398,691

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Solution

The third proportional to 258,018 and 398,691 is: 616,059.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,018 : 398,691 = 398,691 : x
  2. Step 2: Convert to fraction form
    258,018/398,691 = 398,691/x
  3. Step 3: Cross multiply
    258,018x = 398,691 × 398,691
  4. Step 4: Simplify right side
    258,018x = 158,954,513,481
  5. Step 5: Solve for x
    x = 158,954,513,481/258,018
  6. Step 6: Final answer
    x = 616,059.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.