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Finding the Third Proportional to 258,058 and 398,751

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Solution

The third proportional to 258,058 and 398,751 is: 616,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,058 : 398,751 = 398,751 : x
  2. Step 2: Convert to fraction form
    258,058/398,751 = 398,751/x
  3. Step 3: Cross multiply
    258,058x = 398,751 × 398,751
  4. Step 4: Simplify right side
    258,058x = 159,002,360,001
  5. Step 5: Solve for x
    x = 159,002,360,001/258,058
  6. Step 6: Final answer
    x = 616,149.70

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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.