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Finding the Third Proportional to 394,725 and 868,182

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Solution

The third proportional to 394,725 and 868,182 is: 1,909,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,725 : 868,182 = 868,182 : x
  2. Step 2: Convert to fraction form
    394,725/868,182 = 868,182/x
  3. Step 3: Cross multiply
    394,725x = 868,182 × 868,182
  4. Step 4: Simplify right side
    394,725x = 753,739,985,124
  5. Step 5: Solve for x
    x = 753,739,985,124/394,725
  6. Step 6: Final answer
    x = 1,909,531.91

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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.