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Finding the Third Proportional to 3,787.38 and 8,286.68

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Solution

The third proportional to 3,787.38 and 8,286.68 is: 18,131.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.38 : 8,286.68 = 8,286.68 : x
  2. Step 2: Convert to fraction form
    3,787.38/8,286.68 = 8,286.68/x
  3. Step 3: Cross multiply
    3,787.38x = 8,286.68 × 8,286.68
  4. Step 4: Simplify right side
    3,787.38x = 68,669,060.24
  5. Step 5: Solve for x
    x = 68,669,060.24/3,787.38
  6. Step 6: Final answer
    x = 18,131.01

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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.