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Finding the Third Proportional to 81,831 and 127,003

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Solution

The third proportional to 81,831 and 127,003 is: 197,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,831 : 127,003 = 127,003 : x
  2. Step 2: Convert to fraction form
    81,831/127,003 = 127,003/x
  3. Step 3: Cross multiply
    81,831x = 127,003 × 127,003
  4. Step 4: Simplify right side
    81,831x = 16,129,762,009
  5. Step 5: Solve for x
    x = 16,129,762,009/81,831
  6. Step 6: Final answer
    x = 197,110.65

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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.