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Finding the Third Proportional to 8,539 and 13,366

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Solution

The third proportional to 8,539 and 13,366 is: 20,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539 : 13,366 = 13,366 : x
  2. Step 2: Convert to fraction form
    8,539/13,366 = 13,366/x
  3. Step 3: Cross multiply
    8,539x = 13,366 × 13,366
  4. Step 4: Simplify right side
    8,539x = 178,649,956
  5. Step 5: Solve for x
    x = 178,649,956/8,539
  6. Step 6: Final answer
    x = 20,921.65

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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.