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Finding the Third Proportional to 80,751 and 120,339

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Solution

The third proportional to 80,751 and 120,339 is: 179,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,751 : 120,339 = 120,339 : x
  2. Step 2: Convert to fraction form
    80,751/120,339 = 120,339/x
  3. Step 3: Cross multiply
    80,751x = 120,339 × 120,339
  4. Step 4: Simplify right side
    80,751x = 14,481,474,921
  5. Step 5: Solve for x
    x = 14,481,474,921/80,751
  6. Step 6: Final answer
    x = 179,334.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.