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Finding the Third Proportional to 394,135 and 861,884

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Solution

The third proportional to 394,135 and 861,884 is: 1,884,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,135 : 861,884 = 861,884 : x
  2. Step 2: Convert to fraction form
    394,135/861,884 = 861,884/x
  3. Step 3: Cross multiply
    394,135x = 861,884 × 861,884
  4. Step 4: Simplify right side
    394,135x = 742,844,029,456
  5. Step 5: Solve for x
    x = 742,844,029,456/394,135
  6. Step 6: Final answer
    x = 1,884,745.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.