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Finding the Third Proportional to 81,656 and 126,183

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Solution

The third proportional to 81,656 and 126,183 is: 194,990.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,656 : 126,183 = 126,183 : x
  2. Step 2: Convert to fraction form
    81,656/126,183 = 126,183/x
  3. Step 3: Cross multiply
    81,656x = 126,183 × 126,183
  4. Step 4: Simplify right side
    81,656x = 15,922,149,489
  5. Step 5: Solve for x
    x = 15,922,149,489/81,656
  6. Step 6: Final answer
    x = 194,990.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.