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Finding the Third Proportional to 520,631 and 804,542

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Solution

The third proportional to 520,631 and 804,542 is: 1,243,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,631 : 804,542 = 804,542 : x
  2. Step 2: Convert to fraction form
    520,631/804,542 = 804,542/x
  3. Step 3: Cross multiply
    520,631x = 804,542 × 804,542
  4. Step 4: Simplify right side
    520,631x = 647,287,829,764
  5. Step 5: Solve for x
    x = 647,287,829,764/520,631
  6. Step 6: Final answer
    x = 1,243,275.62

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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.