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Finding the Third Proportional to 394,810 and 868,334

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Solution

The third proportional to 394,810 and 868,334 is: 1,909,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,810 : 868,334 = 868,334 : x
  2. Step 2: Convert to fraction form
    394,810/868,334 = 868,334/x
  3. Step 3: Cross multiply
    394,810x = 868,334 × 868,334
  4. Step 4: Simplify right side
    394,810x = 754,003,935,556
  5. Step 5: Solve for x
    x = 754,003,935,556/394,810
  6. Step 6: Final answer
    x = 1,909,789.36

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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.