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Finding the Third Proportional to 8,234.47 and 18,311.27

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Solution

The third proportional to 8,234.47 and 18,311.27 is: 40,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.47 : 18,311.27 = 18,311.27 : x
  2. Step 2: Convert to fraction form
    8,234.47/18,311.27 = 18,311.27/x
  3. Step 3: Cross multiply
    8,234.47x = 18,311.27 × 18,311.27
  4. Step 4: Simplify right side
    8,234.47x = 335,302,734.90
  5. Step 5: Solve for x
    x = 335,302,734.90/8,234.47
  6. Step 6: Final answer
    x = 40,719.39

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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.