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Finding the Third Proportional to 80,761.50 and 120,352.50

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Solution

The third proportional to 80,761.50 and 120,352.50 is: 179,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,761.50 : 120,352.50 = 120,352.50 : x
  2. Step 2: Convert to fraction form
    80,761.50/120,352.50 = 120,352.50/x
  3. Step 3: Cross multiply
    80,761.50x = 120,352.50 × 120,352.50
  4. Step 4: Simplify right side
    80,761.50x = 14,484,724,256.25
  5. Step 5: Solve for x
    x = 14,484,724,256.25/80,761.50
  6. Step 6: Final answer
    x = 179,351.85

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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.