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Finding the Third Proportional to 394,131 and 611,439

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Solution

The third proportional to 394,131 and 611,439 is: 948,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,131 : 611,439 = 611,439 : x
  2. Step 2: Convert to fraction form
    394,131/611,439 = 611,439/x
  3. Step 3: Cross multiply
    394,131x = 611,439 × 611,439
  4. Step 4: Simplify right side
    394,131x = 373,857,650,721
  5. Step 5: Solve for x
    x = 373,857,650,721/394,131
  6. Step 6: Final answer
    x = 948,561.90

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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.