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Finding the Third Proportional to 81,872.96 and 179,020.76

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Solution

The third proportional to 81,872.96 and 179,020.76 is: 391,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,872.96 : 179,020.76 = 179,020.76 : x
  2. Step 2: Convert to fraction form
    81,872.96/179,020.76 = 179,020.76/x
  3. Step 3: Cross multiply
    81,872.96x = 179,020.76 × 179,020.76
  4. Step 4: Simplify right side
    81,872.96x = 32,048,431,727.76
  5. Step 5: Solve for x
    x = 32,048,431,727.76/81,872.96
  6. Step 6: Final answer
    x = 391,440.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.