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Finding the Third Proportional to 381,229 and 814,811

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Solution

The third proportional to 381,229 and 814,811 is: 1,741,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,229 : 814,811 = 814,811 : x
  2. Step 2: Convert to fraction form
    381,229/814,811 = 814,811/x
  3. Step 3: Cross multiply
    381,229x = 814,811 × 814,811
  4. Step 4: Simplify right side
    381,229x = 663,916,965,721
  5. Step 5: Solve for x
    x = 663,916,965,721/381,229
  6. Step 6: Final answer
    x = 1,741,517.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.