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Finding the Third Proportional to 2,729 and 4,589

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Solution

The third proportional to 2,729 and 4,589 is: 7,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729 : 4,589 = 4,589 : x
  2. Step 2: Convert to fraction form
    2,729/4,589 = 4,589/x
  3. Step 3: Cross multiply
    2,729x = 4,589 × 4,589
  4. Step 4: Simplify right side
    2,729x = 21,058,921
  5. Step 5: Solve for x
    x = 21,058,921/2,729
  6. Step 6: Final answer
    x = 7,716.72

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.