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Finding the Third Proportional to 8,229.09 and 18,311.06

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Solution

The third proportional to 8,229.09 and 18,311.06 is: 40,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.09 : 18,311.06 = 18,311.06 : x
  2. Step 2: Convert to fraction form
    8,229.09/18,311.06 = 18,311.06/x
  3. Step 3: Cross multiply
    8,229.09x = 18,311.06 × 18,311.06
  4. Step 4: Simplify right side
    8,229.09x = 335,295,009.88
  5. Step 5: Solve for x
    x = 335,295,009.88/8,229.09
  6. Step 6: Final answer
    x = 40,745.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.