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Finding the Third Proportional to 8,229.09 and 18,237.66

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Solution

The third proportional to 8,229.09 and 18,237.66 is: 40,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.09 : 18,237.66 = 18,237.66 : x
  2. Step 2: Convert to fraction form
    8,229.09/18,237.66 = 18,237.66/x
  3. Step 3: Cross multiply
    8,229.09x = 18,237.66 × 18,237.66
  4. Step 4: Simplify right side
    8,229.09x = 332,612,105.49
  5. Step 5: Solve for x
    x = 332,612,105.49/8,229.09
  6. Step 6: Final answer
    x = 40,419.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.