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Finding the Third Proportional to 12,511 and 18,349

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Solution

The third proportional to 12,511 and 18,349 is: 26,911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511 : 18,349 = 18,349 : x
  2. Step 2: Convert to fraction form
    12,511/18,349 = 18,349/x
  3. Step 3: Cross multiply
    12,511x = 18,349 × 18,349
  4. Step 4: Simplify right side
    12,511x = 336,685,801
  5. Step 5: Solve for x
    x = 336,685,801/12,511
  6. Step 6: Final answer
    x = 26,911.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.