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Finding the Third Proportional to 8,162 and 11,956

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Solution

The third proportional to 8,162 and 11,956 is: 17,513.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162 : 11,956 = 11,956 : x
  2. Step 2: Convert to fraction form
    8,162/11,956 = 11,956/x
  3. Step 3: Cross multiply
    8,162x = 11,956 × 11,956
  4. Step 4: Simplify right side
    8,162x = 142,945,936
  5. Step 5: Solve for x
    x = 142,945,936/8,162
  6. Step 6: Final answer
    x = 17,513.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.