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Finding the Third Proportional to 2,286.25 and 3,212.75

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Solution

The third proportional to 2,286.25 and 3,212.75 is: 4,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.25 : 3,212.75 = 3,212.75 : x
  2. Step 2: Convert to fraction form
    2,286.25/3,212.75 = 3,212.75/x
  3. Step 3: Cross multiply
    2,286.25x = 3,212.75 × 3,212.75
  4. Step 4: Simplify right side
    2,286.25x = 10,321,762.56
  5. Step 5: Solve for x
    x = 10,321,762.56/2,286.25
  6. Step 6: Final answer
    x = 4,514.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.