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Finding the Third Proportional to 100,744 and 217,226

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Solution

The third proportional to 100,744 and 217,226 is: 468,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,744 : 217,226 = 217,226 : x
  2. Step 2: Convert to fraction form
    100,744/217,226 = 217,226/x
  3. Step 3: Cross multiply
    100,744x = 217,226 × 217,226
  4. Step 4: Simplify right side
    100,744x = 47,187,135,076
  5. Step 5: Solve for x
    x = 47,187,135,076/100,744
  6. Step 6: Final answer
    x = 468,386.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.