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Finding the Third Proportional to 81,099 and 166,203

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Solution

The third proportional to 81,099 and 166,203 is: 340,613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,099 : 166,203 = 166,203 : x
  2. Step 2: Convert to fraction form
    81,099/166,203 = 166,203/x
  3. Step 3: Cross multiply
    81,099x = 166,203 × 166,203
  4. Step 4: Simplify right side
    81,099x = 27,623,437,209
  5. Step 5: Solve for x
    x = 27,623,437,209/81,099
  6. Step 6: Final answer
    x = 340,613.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.