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Finding the Third Proportional to 10,388.25 and 15,540.75

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Solution

The third proportional to 10,388.25 and 15,540.75 is: 23,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.25 : 15,540.75 = 15,540.75 : x
  2. Step 2: Convert to fraction form
    10,388.25/15,540.75 = 15,540.75/x
  3. Step 3: Cross multiply
    10,388.25x = 15,540.75 × 15,540.75
  4. Step 4: Simplify right side
    10,388.25x = 241,514,910.56
  5. Step 5: Solve for x
    x = 241,514,910.56/10,388.25
  6. Step 6: Final answer
    x = 23,248.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.