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Finding the Third Proportional to 100,181 and 217,849

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Solution

The third proportional to 100,181 and 217,849 is: 473,724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,181 : 217,849 = 217,849 : x
  2. Step 2: Convert to fraction form
    100,181/217,849 = 217,849/x
  3. Step 3: Cross multiply
    100,181x = 217,849 × 217,849
  4. Step 4: Simplify right side
    100,181x = 47,458,186,801
  5. Step 5: Solve for x
    x = 47,458,186,801/100,181
  6. Step 6: Final answer
    x = 473,724.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.