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Finding the Third Proportional to 12,729 and 18,589

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Solution

The third proportional to 12,729 and 18,589 is: 27,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729 : 18,589 = 18,589 : x
  2. Step 2: Convert to fraction form
    12,729/18,589 = 18,589/x
  3. Step 3: Cross multiply
    12,729x = 18,589 × 18,589
  4. Step 4: Simplify right side
    12,729x = 345,550,921
  5. Step 5: Solve for x
    x = 345,550,921/12,729
  6. Step 6: Final answer
    x = 27,146.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.