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Finding the Third Proportional to 256,438 and 398,103

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Solution

The third proportional to 256,438 and 398,103 is: 618,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,438 : 398,103 = 398,103 : x
  2. Step 2: Convert to fraction form
    256,438/398,103 = 398,103/x
  3. Step 3: Cross multiply
    256,438x = 398,103 × 398,103
  4. Step 4: Simplify right side
    256,438x = 158,485,998,609
  5. Step 5: Solve for x
    x = 158,485,998,609/256,438
  6. Step 6: Final answer
    x = 618,028.52

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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.