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Finding the Third Proportional to 80,928.75 and 120,906.75

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Solution

The third proportional to 80,928.75 and 120,906.75 is: 180,633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,928.75 : 120,906.75 = 120,906.75 : x
  2. Step 2: Convert to fraction form
    80,928.75/120,906.75 = 120,906.75/x
  3. Step 3: Cross multiply
    80,928.75x = 120,906.75 × 120,906.75
  4. Step 4: Simplify right side
    80,928.75x = 14,618,442,195.56
  5. Step 5: Solve for x
    x = 14,618,442,195.56/80,928.75
  6. Step 6: Final answer
    x = 180,633.49

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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.