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Finding the Third Proportional to 80,137 and 120,217.50

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Solution

The third proportional to 80,137 and 120,217.50 is: 180,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,137 : 120,217.50 = 120,217.50 : x
  2. Step 2: Convert to fraction form
    80,137/120,217.50 = 120,217.50/x
  3. Step 3: Cross multiply
    80,137x = 120,217.50 × 120,217.50
  4. Step 4: Simplify right side
    80,137x = 14,452,247,306.25
  5. Step 5: Solve for x
    x = 14,452,247,306.25/80,137
  6. Step 6: Final answer
    x = 180,344.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.