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Finding the Third Proportional to 394,812 and 868,332

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Solution

The third proportional to 394,812 and 868,332 is: 1,909,770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,812 : 868,332 = 868,332 : x
  2. Step 2: Convert to fraction form
    394,812/868,332 = 868,332/x
  3. Step 3: Cross multiply
    394,812x = 868,332 × 868,332
  4. Step 4: Simplify right side
    394,812x = 754,000,462,224
  5. Step 5: Solve for x
    x = 754,000,462,224/394,812
  6. Step 6: Final answer
    x = 1,909,770.88

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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.