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Finding the Third Proportional to 1,212.84 and 2,255.44

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Solution

The third proportional to 1,212.84 and 2,255.44 is: 4,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.84 : 2,255.44 = 2,255.44 : x
  2. Step 2: Convert to fraction form
    1,212.84/2,255.44 = 2,255.44/x
  3. Step 3: Cross multiply
    1,212.84x = 2,255.44 × 2,255.44
  4. Step 4: Simplify right side
    1,212.84x = 5,086,998.32
  5. Step 5: Solve for x
    x = 5,086,998.32/1,212.84
  6. Step 6: Final answer
    x = 4,194.27

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.