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Finding the Third Proportional to 81,391.50 and 169,021

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Solution

The third proportional to 81,391.50 and 169,021 is: 350,996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,391.50 : 169,021 = 169,021 : x
  2. Step 2: Convert to fraction form
    81,391.50/169,021 = 169,021/x
  3. Step 3: Cross multiply
    81,391.50x = 169,021 × 169,021
  4. Step 4: Simplify right side
    81,391.50x = 28,568,098,441
  5. Step 5: Solve for x
    x = 28,568,098,441/81,391.50
  6. Step 6: Final answer
    x = 350,996.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.