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Finding the Third Proportional to 8,407 and 11,866

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Solution

The third proportional to 8,407 and 11,866 is: 16,748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407 : 11,866 = 11,866 : x
  2. Step 2: Convert to fraction form
    8,407/11,866 = 11,866/x
  3. Step 3: Cross multiply
    8,407x = 11,866 × 11,866
  4. Step 4: Simplify right side
    8,407x = 140,801,956
  5. Step 5: Solve for x
    x = 140,801,956/8,407
  6. Step 6: Final answer
    x = 16,748.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.