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Finding the Third Proportional to 8,234.16 and 18,108.56

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Solution

The third proportional to 8,234.16 and 18,108.56 is: 39,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.16 : 18,108.56 = 18,108.56 : x
  2. Step 2: Convert to fraction form
    8,234.16/18,108.56 = 18,108.56/x
  3. Step 3: Cross multiply
    8,234.16x = 18,108.56 × 18,108.56
  4. Step 4: Simplify right side
    8,234.16x = 327,920,035.82
  5. Step 5: Solve for x
    x = 327,920,035.82/8,234.16
  6. Step 6: Final answer
    x = 39,824.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.