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Finding the Third Proportional to 12,519 and 13,599

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Solution

The third proportional to 12,519 and 13,599 is: 14,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,519 : 13,599 = 13,599 : x
  2. Step 2: Convert to fraction form
    12,519/13,599 = 13,599/x
  3. Step 3: Cross multiply
    12,519x = 13,599 × 13,599
  4. Step 4: Simplify right side
    12,519x = 184,932,801
  5. Step 5: Solve for x
    x = 184,932,801/12,519
  6. Step 6: Final answer
    x = 14,772.17

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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.