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Finding the Third Proportional to 398,188 and 616,542

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Solution

The third proportional to 398,188 and 616,542 is: 954,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,188 : 616,542 = 616,542 : x
  2. Step 2: Convert to fraction form
    398,188/616,542 = 616,542/x
  3. Step 3: Cross multiply
    398,188x = 616,542 × 616,542
  4. Step 4: Simplify right side
    398,188x = 380,124,037,764
  5. Step 5: Solve for x
    x = 380,124,037,764/398,188
  6. Step 6: Final answer
    x = 954,634.59

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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.