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Finding the Third Proportional to 8,439.50 and 13,115

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Solution

The third proportional to 8,439.50 and 13,115 is: 20,380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.50 : 13,115 = 13,115 : x
  2. Step 2: Convert to fraction form
    8,439.50/13,115 = 13,115/x
  3. Step 3: Cross multiply
    8,439.50x = 13,115 × 13,115
  4. Step 4: Simplify right side
    8,439.50x = 172,003,225
  5. Step 5: Solve for x
    x = 172,003,225/8,439.50
  6. Step 6: Final answer
    x = 20,380.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.