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Finding the Third Proportional to 8,317.50 and 18,177

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Solution

The third proportional to 8,317.50 and 18,177 is: 39,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.50 : 18,177 = 18,177 : x
  2. Step 2: Convert to fraction form
    8,317.50/18,177 = 18,177/x
  3. Step 3: Cross multiply
    8,317.50x = 18,177 × 18,177
  4. Step 4: Simplify right side
    8,317.50x = 330,403,329
  5. Step 5: Solve for x
    x = 330,403,329/8,317.50
  6. Step 6: Final answer
    x = 39,723.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.