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Finding the Third Proportional to 10,832 and 11,912

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Solution

The third proportional to 10,832 and 11,912 is: 13,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832 : 11,912 = 11,912 : x
  2. Step 2: Convert to fraction form
    10,832/11,912 = 11,912/x
  3. Step 3: Cross multiply
    10,832x = 11,912 × 11,912
  4. Step 4: Simplify right side
    10,832x = 141,895,744
  5. Step 5: Solve for x
    x = 141,895,744/10,832
  6. Step 6: Final answer
    x = 13,099.68

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.