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Finding the Third Proportional to 8,568 and 11,672.44

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Solution

The third proportional to 8,568 and 11,672.44 is: 15,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568 : 11,672.44 = 11,672.44 : x
  2. Step 2: Convert to fraction form
    8,568/11,672.44 = 11,672.44/x
  3. Step 3: Cross multiply
    8,568x = 11,672.44 × 11,672.44
  4. Step 4: Simplify right side
    8,568x = 136,245,797.19
  5. Step 5: Solve for x
    x = 136,245,797.19/8,568
  6. Step 6: Final answer
    x = 15,901.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.