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Finding the Third Proportional to 10,792 and 11,872

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Solution

The third proportional to 10,792 and 11,872 is: 13,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792 : 11,872 = 11,872 : x
  2. Step 2: Convert to fraction form
    10,792/11,872 = 11,872/x
  3. Step 3: Cross multiply
    10,792x = 11,872 × 11,872
  4. Step 4: Simplify right side
    10,792x = 140,944,384
  5. Step 5: Solve for x
    x = 140,944,384/10,792
  6. Step 6: Final answer
    x = 13,060.08

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