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Finding the Third Proportional to 11,514 and 20,659

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Solution

The third proportional to 11,514 and 20,659 is: 37,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514 : 20,659 = 20,659 : x
  2. Step 2: Convert to fraction form
    11,514/20,659 = 20,659/x
  3. Step 3: Cross multiply
    11,514x = 20,659 × 20,659
  4. Step 4: Simplify right side
    11,514x = 426,794,281
  5. Step 5: Solve for x
    x = 426,794,281/11,514
  6. Step 6: Final answer
    x = 37,067.42

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.