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Finding the Third Proportional to 99,889 and 218,185

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Solution

The third proportional to 99,889 and 218,185 is: 476,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,889 : 218,185 = 218,185 : x
  2. Step 2: Convert to fraction form
    99,889/218,185 = 218,185/x
  3. Step 3: Cross multiply
    99,889x = 218,185 × 218,185
  4. Step 4: Simplify right side
    99,889x = 47,604,694,225
  5. Step 5: Solve for x
    x = 47,604,694,225/99,889
  6. Step 6: Final answer
    x = 476,575.94

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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.