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Finding the Third Proportional to 2,202.43 and 4,745.64

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Solution

The third proportional to 2,202.43 and 4,745.64 is: 10,225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.43 : 4,745.64 = 4,745.64 : x
  2. Step 2: Convert to fraction form
    2,202.43/4,745.64 = 4,745.64/x
  3. Step 3: Cross multiply
    2,202.43x = 4,745.64 × 4,745.64
  4. Step 4: Simplify right side
    2,202.43x = 22,521,067.87
  5. Step 5: Solve for x
    x = 22,521,067.87/2,202.43
  6. Step 6: Final answer
    x = 10,225.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.