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Finding the Third Proportional to 13,539 and 20,165

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Solution

The third proportional to 13,539 and 20,165 is: 30,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539 : 20,165 = 20,165 : x
  2. Step 2: Convert to fraction form
    13,539/20,165 = 20,165/x
  3. Step 3: Cross multiply
    13,539x = 20,165 × 20,165
  4. Step 4: Simplify right side
    13,539x = 406,627,225
  5. Step 5: Solve for x
    x = 406,627,225/13,539
  6. Step 6: Final answer
    x = 30,033.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.