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Finding the Third Proportional to 82,775 and 126,831

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Solution

The third proportional to 82,775 and 126,831 is: 194,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,775 : 126,831 = 126,831 : x
  2. Step 2: Convert to fraction form
    82,775/126,831 = 126,831/x
  3. Step 3: Cross multiply
    82,775x = 126,831 × 126,831
  4. Step 4: Simplify right side
    82,775x = 16,086,102,561
  5. Step 5: Solve for x
    x = 16,086,102,561/82,775
  6. Step 6: Final answer
    x = 194,335.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.