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Finding the Third Proportional to 8,257.41 and 12,388.69

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Solution

The third proportional to 8,257.41 and 12,388.69 is: 18,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.41 : 12,388.69 = 12,388.69 : x
  2. Step 2: Convert to fraction form
    8,257.41/12,388.69 = 12,388.69/x
  3. Step 3: Cross multiply
    8,257.41x = 12,388.69 × 12,388.69
  4. Step 4: Simplify right side
    8,257.41x = 153,479,577.97
  5. Step 5: Solve for x
    x = 153,479,577.97/8,257.41
  6. Step 6: Final answer
    x = 18,586.90

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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.