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Finding the Third Proportional to 5,138 and 11,986

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Solution

The third proportional to 5,138 and 11,986 is: 27,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138 : 11,986 = 11,986 : x
  2. Step 2: Convert to fraction form
    5,138/11,986 = 11,986/x
  3. Step 3: Cross multiply
    5,138x = 11,986 × 11,986
  4. Step 4: Simplify right side
    5,138x = 143,664,196
  5. Step 5: Solve for x
    x = 143,664,196/5,138
  6. Step 6: Final answer
    x = 27,961.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.