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Finding the Third Proportional to 12,169 and 13,449

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Solution

The third proportional to 12,169 and 13,449 is: 14,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169 : 13,449 = 13,449 : x
  2. Step 2: Convert to fraction form
    12,169/13,449 = 13,449/x
  3. Step 3: Cross multiply
    12,169x = 13,449 × 13,449
  4. Step 4: Simplify right side
    12,169x = 180,875,601
  5. Step 5: Solve for x
    x = 180,875,601/12,169
  6. Step 6: Final answer
    x = 14,863.64

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.