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Finding the Third Proportional to 81,229.50 and 169,836.75

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Solution

The third proportional to 81,229.50 and 169,836.75 is: 355,099.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,229.50 : 169,836.75 = 169,836.75 : x
  2. Step 2: Convert to fraction form
    81,229.50/169,836.75 = 169,836.75/x
  3. Step 3: Cross multiply
    81,229.50x = 169,836.75 × 169,836.75
  4. Step 4: Simplify right side
    81,229.50x = 28,844,521,650.56
  5. Step 5: Solve for x
    x = 28,844,521,650.56/81,229.50
  6. Step 6: Final answer
    x = 355,099.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.