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Finding the Third Proportional to 394,130 and 861,874

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Solution

The third proportional to 394,130 and 861,874 is: 1,884,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,130 : 861,874 = 861,874 : x
  2. Step 2: Convert to fraction form
    394,130/861,874 = 861,874/x
  3. Step 3: Cross multiply
    394,130x = 861,874 × 861,874
  4. Step 4: Simplify right side
    394,130x = 742,826,791,876
  5. Step 5: Solve for x
    x = 742,826,791,876/394,130
  6. Step 6: Final answer
    x = 1,884,725.32

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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.