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Finding the Third Proportional to 8,931 and 18,105

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Solution

The third proportional to 8,931 and 18,105 is: 36,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931 : 18,105 = 18,105 : x
  2. Step 2: Convert to fraction form
    8,931/18,105 = 18,105/x
  3. Step 3: Cross multiply
    8,931x = 18,105 × 18,105
  4. Step 4: Simplify right side
    8,931x = 327,791,025
  5. Step 5: Solve for x
    x = 327,791,025/8,931
  6. Step 6: Final answer
    x = 36,702.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.