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Finding the Third Proportional to 99,906.38 and 218,118.75

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Solution

The third proportional to 99,906.38 and 218,118.75 is: 476,203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,906.38 : 218,118.75 = 218,118.75 : x
  2. Step 2: Convert to fraction form
    99,906.38/218,118.75 = 218,118.75/x
  3. Step 3: Cross multiply
    99,906.38x = 218,118.75 × 218,118.75
  4. Step 4: Simplify right side
    99,906.38x = 47,575,789,101.56
  5. Step 5: Solve for x
    x = 47,575,789,101.56/99,906.38
  6. Step 6: Final answer
    x = 476,203.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.