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Finding the Third Proportional to 392,876 and 837,267

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Solution

The third proportional to 392,876 and 837,267 is: 1,784,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,876 : 837,267 = 837,267 : x
  2. Step 2: Convert to fraction form
    392,876/837,267 = 837,267/x
  3. Step 3: Cross multiply
    392,876x = 837,267 × 837,267
  4. Step 4: Simplify right side
    392,876x = 701,016,029,289
  5. Step 5: Solve for x
    x = 701,016,029,289/392,876
  6. Step 6: Final answer
    x = 1,784,318.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.