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Finding the Third Proportional to 81,181 and 127,381

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Solution

The third proportional to 81,181 and 127,381 is: 199,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,181 : 127,381 = 127,381 : x
  2. Step 2: Convert to fraction form
    81,181/127,381 = 127,381/x
  3. Step 3: Cross multiply
    81,181x = 127,381 × 127,381
  4. Step 4: Simplify right side
    81,181x = 16,225,919,161
  5. Step 5: Solve for x
    x = 16,225,919,161/81,181
  6. Step 6: Final answer
    x = 199,873.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.