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Finding the Third Proportional to 2,256 and 2,640.75

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Solution

The third proportional to 2,256 and 2,640.75 is: 3,091.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256 : 2,640.75 = 2,640.75 : x
  2. Step 2: Convert to fraction form
    2,256/2,640.75 = 2,640.75/x
  3. Step 3: Cross multiply
    2,256x = 2,640.75 × 2,640.75
  4. Step 4: Simplify right side
    2,256x = 6,973,560.56
  5. Step 5: Solve for x
    x = 6,973,560.56/2,256
  6. Step 6: Final answer
    x = 3,091.12

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.