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Finding the Third Proportional to 11,539 and 18,077

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Solution

The third proportional to 11,539 and 18,077 is: 28,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539 : 18,077 = 18,077 : x
  2. Step 2: Convert to fraction form
    11,539/18,077 = 18,077/x
  3. Step 3: Cross multiply
    11,539x = 18,077 × 18,077
  4. Step 4: Simplify right side
    11,539x = 326,777,929
  5. Step 5: Solve for x
    x = 326,777,929/11,539
  6. Step 6: Final answer
    x = 28,319.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.