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Finding the Third Proportional to 99,891 and 218,189

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Solution

The third proportional to 99,891 and 218,189 is: 476,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,891 : 218,189 = 218,189 : x
  2. Step 2: Convert to fraction form
    99,891/218,189 = 218,189/x
  3. Step 3: Cross multiply
    99,891x = 218,189 × 218,189
  4. Step 4: Simplify right side
    99,891x = 47,606,439,721
  5. Step 5: Solve for x
    x = 47,606,439,721/99,891
  6. Step 6: Final answer
    x = 476,583.87

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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.