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Finding the Third Proportional to 8,409 and 11,785

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Solution

The third proportional to 8,409 and 11,785 is: 16,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409 : 11,785 = 11,785 : x
  2. Step 2: Convert to fraction form
    8,409/11,785 = 11,785/x
  3. Step 3: Cross multiply
    8,409x = 11,785 × 11,785
  4. Step 4: Simplify right side
    8,409x = 138,886,225
  5. Step 5: Solve for x
    x = 138,886,225/8,409
  6. Step 6: Final answer
    x = 16,516.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.