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Finding the Third Proportional to 12,204 and 13,311

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Solution

The third proportional to 12,204 and 13,311 is: 14,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204 : 13,311 = 13,311 : x
  2. Step 2: Convert to fraction form
    12,204/13,311 = 13,311/x
  3. Step 3: Cross multiply
    12,204x = 13,311 × 13,311
  4. Step 4: Simplify right side
    12,204x = 177,182,721
  5. Step 5: Solve for x
    x = 177,182,721/12,204
  6. Step 6: Final answer
    x = 14,518.41

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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.