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Finding the Third Proportional to 10,497 and 13,311

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Solution

The third proportional to 10,497 and 13,311 is: 16,879.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497 : 13,311 = 13,311 : x
  2. Step 2: Convert to fraction form
    10,497/13,311 = 13,311/x
  3. Step 3: Cross multiply
    10,497x = 13,311 × 13,311
  4. Step 4: Simplify right side
    10,497x = 177,182,721
  5. Step 5: Solve for x
    x = 177,182,721/10,497
  6. Step 6: Final answer
    x = 16,879.37

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.