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Finding the Third Proportional to 80,512.73 and 120,772.90

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Solution

The third proportional to 80,512.73 and 120,772.90 is: 181,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,512.73 : 120,772.90 = 120,772.90 : x
  2. Step 2: Convert to fraction form
    80,512.73/120,772.90 = 120,772.90/x
  3. Step 3: Cross multiply
    80,512.73x = 120,772.90 × 120,772.90
  4. Step 4: Simplify right side
    80,512.73x = 14,586,092,996.99
  5. Step 5: Solve for x
    x = 14,586,092,996.99/80,512.73
  6. Step 6: Final answer
    x = 181,165.04

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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.