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Finding the Third Proportional to 10,832 and 12,440

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Solution

The third proportional to 10,832 and 12,440 is: 14,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832 : 12,440 = 12,440 : x
  2. Step 2: Convert to fraction form
    10,832/12,440 = 12,440/x
  3. Step 3: Cross multiply
    10,832x = 12,440 × 12,440
  4. Step 4: Simplify right side
    10,832x = 154,753,600
  5. Step 5: Solve for x
    x = 154,753,600/10,832
  6. Step 6: Final answer
    x = 14,286.71

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.