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Finding the Third Proportional to 2,452.78 and 3,241.27

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Solution

The third proportional to 2,452.78 and 3,241.27 is: 4,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.78 : 3,241.27 = 3,241.27 : x
  2. Step 2: Convert to fraction form
    2,452.78/3,241.27 = 3,241.27/x
  3. Step 3: Cross multiply
    2,452.78x = 3,241.27 × 3,241.27
  4. Step 4: Simplify right side
    2,452.78x = 10,505,802.85
  5. Step 5: Solve for x
    x = 10,505,802.85/2,452.78
  6. Step 6: Final answer
    x = 4,283.22

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.