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Finding the Third Proportional to 2,542 and 3,878

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Solution

The third proportional to 2,542 and 3,878 is: 5,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542 : 3,878 = 3,878 : x
  2. Step 2: Convert to fraction form
    2,542/3,878 = 3,878/x
  3. Step 3: Cross multiply
    2,542x = 3,878 × 3,878
  4. Step 4: Simplify right side
    2,542x = 15,038,884
  5. Step 5: Solve for x
    x = 15,038,884/2,542
  6. Step 6: Final answer
    x = 5,916.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.