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Finding the Third Proportional to 8,512.59 and 18,255.38

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Solution

The third proportional to 8,512.59 and 18,255.38 is: 39,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.59 : 18,255.38 = 18,255.38 : x
  2. Step 2: Convert to fraction form
    8,512.59/18,255.38 = 18,255.38/x
  3. Step 3: Cross multiply
    8,512.59x = 18,255.38 × 18,255.38
  4. Step 4: Simplify right side
    8,512.59x = 333,258,716.39
  5. Step 5: Solve for x
    x = 333,258,716.39/8,512.59
  6. Step 6: Final answer
    x = 39,148.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.