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Finding the Third Proportional to 80,998.03 and 109,039.13

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Solution

The third proportional to 80,998.03 and 109,039.13 is: 146,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,998.03 : 109,039.13 = 109,039.13 : x
  2. Step 2: Convert to fraction form
    80,998.03/109,039.13 = 109,039.13/x
  3. Step 3: Cross multiply
    80,998.03x = 109,039.13 × 109,039.13
  4. Step 4: Simplify right side
    80,998.03x = 11,889,530,780.77
  5. Step 5: Solve for x
    x = 11,889,530,780.77/80,998.03
  6. Step 6: Final answer
    x = 146,787.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.