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Finding the Third Proportional to 80,028 and 106,866

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Solution

The third proportional to 80,028 and 106,866 is: 142,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,028 : 106,866 = 106,866 : x
  2. Step 2: Convert to fraction form
    80,028/106,866 = 106,866/x
  3. Step 3: Cross multiply
    80,028x = 106,866 × 106,866
  4. Step 4: Simplify right side
    80,028x = 11,420,341,956
  5. Step 5: Solve for x
    x = 11,420,341,956/80,028
  6. Step 6: Final answer
    x = 142,704.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.