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Finding the Third Proportional to 217,107 and 457,542

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Solution

The third proportional to 217,107 and 457,542 is: 964,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,107 : 457,542 = 457,542 : x
  2. Step 2: Convert to fraction form
    217,107/457,542 = 457,542/x
  3. Step 3: Cross multiply
    217,107x = 457,542 × 457,542
  4. Step 4: Simplify right side
    217,107x = 209,344,681,764
  5. Step 5: Solve for x
    x = 209,344,681,764/217,107
  6. Step 6: Final answer
    x = 964,246.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.