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Finding the Third Proportional to 392,739 and 614,381

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Solution

The third proportional to 392,739 and 614,381 is: 961,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,739 : 614,381 = 614,381 : x
  2. Step 2: Convert to fraction form
    392,739/614,381 = 614,381/x
  3. Step 3: Cross multiply
    392,739x = 614,381 × 614,381
  4. Step 4: Simplify right side
    392,739x = 377,464,013,161
  5. Step 5: Solve for x
    x = 377,464,013,161/392,739
  6. Step 6: Final answer
    x = 961,106.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.