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Finding the Third Proportional to 394,780 and 868,292

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Solution

The third proportional to 394,780 and 868,292 is: 1,909,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,780 : 868,292 = 868,292 : x
  2. Step 2: Convert to fraction form
    394,780/868,292 = 868,292/x
  3. Step 3: Cross multiply
    394,780x = 868,292 × 868,292
  4. Step 4: Simplify right side
    394,780x = 753,930,997,264
  5. Step 5: Solve for x
    x = 753,930,997,264/394,780
  6. Step 6: Final answer
    x = 1,909,749.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.