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Finding the Third Proportional to 258,060 and 398,754

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Solution

The third proportional to 258,060 and 398,754 is: 616,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,060 : 398,754 = 398,754 : x
  2. Step 2: Convert to fraction form
    258,060/398,754 = 398,754/x
  3. Step 3: Cross multiply
    258,060x = 398,754 × 398,754
  4. Step 4: Simplify right side
    258,060x = 159,004,752,516
  5. Step 5: Solve for x
    x = 159,004,752,516/258,060
  6. Step 6: Final answer
    x = 616,154.20

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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.