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Finding the Third Proportional to 394,728 and 868,192

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Solution

The third proportional to 394,728 and 868,192 is: 1,909,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,728 : 868,192 = 868,192 : x
  2. Step 2: Convert to fraction form
    394,728/868,192 = 868,192/x
  3. Step 3: Cross multiply
    394,728x = 868,192 × 868,192
  4. Step 4: Simplify right side
    394,728x = 753,757,348,864
  5. Step 5: Solve for x
    x = 753,757,348,864/394,728
  6. Step 6: Final answer
    x = 1,909,561.39

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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.