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Finding the Third Proportional to 100,223 and 215,997

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Solution

The third proportional to 100,223 and 215,997 is: 465,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,223 : 215,997 = 215,997 : x
  2. Step 2: Convert to fraction form
    100,223/215,997 = 215,997/x
  3. Step 3: Cross multiply
    100,223x = 215,997 × 215,997
  4. Step 4: Simplify right side
    100,223x = 46,654,704,009
  5. Step 5: Solve for x
    x = 46,654,704,009/100,223
  6. Step 6: Final answer
    x = 465,508.96

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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.