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Finding the Third Proportional to 377,703 and 811,542

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Solution

The third proportional to 377,703 and 811,542 is: 1,743,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,703 : 811,542 = 811,542 : x
  2. Step 2: Convert to fraction form
    377,703/811,542 = 811,542/x
  3. Step 3: Cross multiply
    377,703x = 811,542 × 811,542
  4. Step 4: Simplify right side
    377,703x = 658,600,417,764
  5. Step 5: Solve for x
    x = 658,600,417,764/377,703
  6. Step 6: Final answer
    x = 1,743,699.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.