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Finding the Third Proportional to 13,539 and 17,799

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Solution

The third proportional to 13,539 and 17,799 is: 23,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539 : 17,799 = 17,799 : x
  2. Step 2: Convert to fraction form
    13,539/17,799 = 17,799/x
  3. Step 3: Cross multiply
    13,539x = 17,799 × 17,799
  4. Step 4: Simplify right side
    13,539x = 316,804,401
  5. Step 5: Solve for x
    x = 316,804,401/13,539
  6. Step 6: Final answer
    x = 23,399.39

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.