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Finding the Third Proportional to 257,951 and 398,591

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Solution

The third proportional to 257,951 and 398,591 is: 615,910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,951 : 398,591 = 398,591 : x
  2. Step 2: Convert to fraction form
    257,951/398,591 = 398,591/x
  3. Step 3: Cross multiply
    257,951x = 398,591 × 398,591
  4. Step 4: Simplify right side
    257,951x = 158,874,785,281
  5. Step 5: Solve for x
    x = 158,874,785,281/257,951
  6. Step 6: Final answer
    x = 615,910.72

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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.