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Finding the Third Proportional to 11,481.75 and 23,682.38

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Solution

The third proportional to 11,481.75 and 23,682.38 is: 48,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.75 : 23,682.38 = 23,682.38 : x
  2. Step 2: Convert to fraction form
    11,481.75/23,682.38 = 23,682.38/x
  3. Step 3: Cross multiply
    11,481.75x = 23,682.38 × 23,682.38
  4. Step 4: Simplify right side
    11,481.75x = 560,854,885.64
  5. Step 5: Solve for x
    x = 560,854,885.64/11,481.75
  6. Step 6: Final answer
    x = 48,847.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.