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Finding the Third Proportional to 28,557 and 40,589

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Solution

The third proportional to 28,557 and 40,589 is: 57,690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,557 : 40,589 = 40,589 : x
  2. Step 2: Convert to fraction form
    28,557/40,589 = 40,589/x
  3. Step 3: Cross multiply
    28,557x = 40,589 × 40,589
  4. Step 4: Simplify right side
    28,557x = 1,647,466,921
  5. Step 5: Solve for x
    x = 1,647,466,921/28,557
  6. Step 6: Final answer
    x = 57,690.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.