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Finding the Third Proportional to 2,745.56 and 5,415.19

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Solution

The third proportional to 2,745.56 and 5,415.19 is: 10,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.56 : 5,415.19 = 5,415.19 : x
  2. Step 2: Convert to fraction form
    2,745.56/5,415.19 = 5,415.19/x
  3. Step 3: Cross multiply
    2,745.56x = 5,415.19 × 5,415.19
  4. Step 4: Simplify right side
    2,745.56x = 29,324,255.66
  5. Step 5: Solve for x
    x = 29,324,255.66/2,745.56
  6. Step 6: Final answer
    x = 10,680.60

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.