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Finding the Third Proportional to 10,497 and 13,869

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Solution

The third proportional to 10,497 and 13,869 is: 18,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497 : 13,869 = 13,869 : x
  2. Step 2: Convert to fraction form
    10,497/13,869 = 13,869/x
  3. Step 3: Cross multiply
    10,497x = 13,869 × 13,869
  4. Step 4: Simplify right side
    10,497x = 192,349,161
  5. Step 5: Solve for x
    x = 192,349,161/10,497
  6. Step 6: Final answer
    x = 18,324.20

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.