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Finding the Third Proportional to 8,286.75 and 18,115.88

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Solution

The third proportional to 8,286.75 and 18,115.88 is: 39,603.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.75 : 18,115.88 = 18,115.88 : x
  2. Step 2: Convert to fraction form
    8,286.75/18,115.88 = 18,115.88/x
  3. Step 3: Cross multiply
    8,286.75x = 18,115.88 × 18,115.88
  4. Step 4: Simplify right side
    8,286.75x = 328,184,927.02
  5. Step 5: Solve for x
    x = 328,184,927.02/8,286.75
  6. Step 6: Final answer
    x = 39,603.58

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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.