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Finding the Third Proportional to 7,832 and 11,892

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Solution

The third proportional to 7,832 and 11,892 is: 18,056.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832 : 11,892 = 11,892 : x
  2. Step 2: Convert to fraction form
    7,832/11,892 = 11,892/x
  3. Step 3: Cross multiply
    7,832x = 11,892 × 11,892
  4. Step 4: Simplify right side
    7,832x = 141,419,664
  5. Step 5: Solve for x
    x = 141,419,664/7,832
  6. Step 6: Final answer
    x = 18,056.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.