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Finding the Third Proportional to 10,880 and 11,824

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Solution

The third proportional to 10,880 and 11,824 is: 12,849.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880 : 11,824 = 11,824 : x
  2. Step 2: Convert to fraction form
    10,880/11,824 = 11,824/x
  3. Step 3: Cross multiply
    10,880x = 11,824 × 11,824
  4. Step 4: Simplify right side
    10,880x = 139,806,976
  5. Step 5: Solve for x
    x = 139,806,976/10,880
  6. Step 6: Final answer
    x = 12,849.91

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.