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Finding the Third Proportional to 2,742 and 5,621

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Solution

The third proportional to 2,742 and 5,621 is: 11,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742 : 5,621 = 5,621 : x
  2. Step 2: Convert to fraction form
    2,742/5,621 = 5,621/x
  3. Step 3: Cross multiply
    2,742x = 5,621 × 5,621
  4. Step 4: Simplify right side
    2,742x = 31,595,641
  5. Step 5: Solve for x
    x = 31,595,641/2,742
  6. Step 6: Final answer
    x = 11,522.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.