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Finding the Third Proportional to 11,929 and 18,215

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Solution

The third proportional to 11,929 and 18,215 is: 27,813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929 : 18,215 = 18,215 : x
  2. Step 2: Convert to fraction form
    11,929/18,215 = 18,215/x
  3. Step 3: Cross multiply
    11,929x = 18,215 × 18,215
  4. Step 4: Simplify right side
    11,929x = 331,786,225
  5. Step 5: Solve for x
    x = 331,786,225/11,929
  6. Step 6: Final answer
    x = 27,813.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.