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Finding the Third Proportional to 2,268 and 3,432.38

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Solution

The third proportional to 2,268 and 3,432.38 is: 5,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268 : 3,432.38 = 3,432.38 : x
  2. Step 2: Convert to fraction form
    2,268/3,432.38 = 3,432.38/x
  3. Step 3: Cross multiply
    2,268x = 3,432.38 × 3,432.38
  4. Step 4: Simplify right side
    2,268x = 11,781,198.14
  5. Step 5: Solve for x
    x = 11,781,198.14/2,268
  6. Step 6: Final answer
    x = 5,194.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.