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Finding the Third Proportional to 11,899 and 26,189

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Solution

The third proportional to 11,899 and 26,189 is: 57,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899 : 26,189 = 26,189 : x
  2. Step 2: Convert to fraction form
    11,899/26,189 = 26,189/x
  3. Step 3: Cross multiply
    11,899x = 26,189 × 26,189
  4. Step 4: Simplify right side
    11,899x = 685,863,721
  5. Step 5: Solve for x
    x = 685,863,721/11,899
  6. Step 6: Final answer
    x = 57,640.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.