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Finding the Third Proportional to 486,286 and 781,325

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Solution

The third proportional to 486,286 and 781,325 is: 1,255,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,286 : 781,325 = 781,325 : x
  2. Step 2: Convert to fraction form
    486,286/781,325 = 781,325/x
  3. Step 3: Cross multiply
    486,286x = 781,325 × 781,325
  4. Step 4: Simplify right side
    486,286x = 610,468,755,625
  5. Step 5: Solve for x
    x = 610,468,755,625/486,286
  6. Step 6: Final answer
    x = 1,255,369.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.