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Finding the Third Proportional to 81,956 and 125,122

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Solution

The third proportional to 81,956 and 125,122 is: 191,023.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,956 : 125,122 = 125,122 : x
  2. Step 2: Convert to fraction form
    81,956/125,122 = 125,122/x
  3. Step 3: Cross multiply
    81,956x = 125,122 × 125,122
  4. Step 4: Simplify right side
    81,956x = 15,655,514,884
  5. Step 5: Solve for x
    x = 15,655,514,884/81,956
  6. Step 6: Final answer
    x = 191,023.41

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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.