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Finding the Third Proportional to 418,031 and 640,542

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Solution

The third proportional to 418,031 and 640,542 is: 981,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,031 : 640,542 = 640,542 : x
  2. Step 2: Convert to fraction form
    418,031/640,542 = 640,542/x
  3. Step 3: Cross multiply
    418,031x = 640,542 × 640,542
  4. Step 4: Simplify right side
    418,031x = 410,294,053,764
  5. Step 5: Solve for x
    x = 410,294,053,764/418,031
  6. Step 6: Final answer
    x = 981,491.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.