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Finding the Third Proportional to 381,831 and 754,025

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Solution

The third proportional to 381,831 and 754,025 is: 1,489,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,831 : 754,025 = 754,025 : x
  2. Step 2: Convert to fraction form
    381,831/754,025 = 754,025/x
  3. Step 3: Cross multiply
    381,831x = 754,025 × 754,025
  4. Step 4: Simplify right side
    381,831x = 568,553,700,625
  5. Step 5: Solve for x
    x = 568,553,700,625/381,831
  6. Step 6: Final answer
    x = 1,489,019.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.