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Finding the Third Proportional to 1,221.75 and 2,811.38

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Solution

The third proportional to 1,221.75 and 2,811.38 is: 6,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.75 : 2,811.38 = 2,811.38 : x
  2. Step 2: Convert to fraction form
    1,221.75/2,811.38 = 2,811.38/x
  3. Step 3: Cross multiply
    1,221.75x = 2,811.38 × 2,811.38
  4. Step 4: Simplify right side
    1,221.75x = 7,903,829.39
  5. Step 5: Solve for x
    x = 7,903,829.39/1,221.75
  6. Step 6: Final answer
    x = 6,469.27

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.