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Finding the Third Proportional to 3,240 and 4,745.25

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Solution

The third proportional to 3,240 and 4,745.25 is: 6,949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240 : 4,745.25 = 4,745.25 : x
  2. Step 2: Convert to fraction form
    3,240/4,745.25 = 4,745.25/x
  3. Step 3: Cross multiply
    3,240x = 4,745.25 × 4,745.25
  4. Step 4: Simplify right side
    3,240x = 22,517,397.56
  5. Step 5: Solve for x
    x = 22,517,397.56/3,240
  6. Step 6: Final answer
    x = 6,949.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.