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Finding the Third Proportional to 71,311 and 125,123

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Solution

The third proportional to 71,311 and 125,123 is: 219,542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,311 : 125,123 = 125,123 : x
  2. Step 2: Convert to fraction form
    71,311/125,123 = 125,123/x
  3. Step 3: Cross multiply
    71,311x = 125,123 × 125,123
  4. Step 4: Simplify right side
    71,311x = 15,655,765,129
  5. Step 5: Solve for x
    x = 15,655,765,129/71,311
  6. Step 6: Final answer
    x = 219,542.08

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.