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Finding the Third Proportional to 249,124 and 391,542

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Solution

The third proportional to 249,124 and 391,542 is: 615,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,124 : 391,542 = 391,542 : x
  2. Step 2: Convert to fraction form
    249,124/391,542 = 391,542/x
  3. Step 3: Cross multiply
    249,124x = 391,542 × 391,542
  4. Step 4: Simplify right side
    249,124x = 153,305,137,764
  5. Step 5: Solve for x
    x = 153,305,137,764/249,124
  6. Step 6: Final answer
    x = 615,376.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.