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Finding the Third Proportional to 81,169 and 177,099

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Solution

The third proportional to 81,169 and 177,099 is: 386,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,169 : 177,099 = 177,099 : x
  2. Step 2: Convert to fraction form
    81,169/177,099 = 177,099/x
  3. Step 3: Cross multiply
    81,169x = 177,099 × 177,099
  4. Step 4: Simplify right side
    81,169x = 31,364,055,801
  5. Step 5: Solve for x
    x = 31,364,055,801/81,169
  6. Step 6: Final answer
    x = 386,404.36

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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.