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Finding the Third Proportional to 81,170 and 177,908

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Solution

The third proportional to 81,170 and 177,908 is: 389,937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,170 : 177,908 = 177,908 : x
  2. Step 2: Convert to fraction form
    81,170/177,908 = 177,908/x
  3. Step 3: Cross multiply
    81,170x = 177,908 × 177,908
  4. Step 4: Simplify right side
    81,170x = 31,651,256,464
  5. Step 5: Solve for x
    x = 31,651,256,464/81,170
  6. Step 6: Final answer
    x = 389,937.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.