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Finding the Third Proportional to 394,790 and 868,312

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Solution

The third proportional to 394,790 and 868,312 is: 1,909,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,790 : 868,312 = 868,312 : x
  2. Step 2: Convert to fraction form
    394,790/868,312 = 868,312/x
  3. Step 3: Cross multiply
    394,790x = 868,312 × 868,312
  4. Step 4: Simplify right side
    394,790x = 753,965,729,344
  5. Step 5: Solve for x
    x = 753,965,729,344/394,790
  6. Step 6: Final answer
    x = 1,909,789.33

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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.