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Finding the Third Proportional to 81,858 and 126,165

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Solution

The third proportional to 81,858 and 126,165 is: 194,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,858 : 126,165 = 126,165 : x
  2. Step 2: Convert to fraction form
    81,858/126,165 = 126,165/x
  3. Step 3: Cross multiply
    81,858x = 126,165 × 126,165
  4. Step 4: Simplify right side
    81,858x = 15,917,607,225
  5. Step 5: Solve for x
    x = 15,917,607,225/81,858
  6. Step 6: Final answer
    x = 194,453.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.