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Finding the Third Proportional to 3,651.75 and 5,480.16

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Solution

The third proportional to 3,651.75 and 5,480.16 is: 8,224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.75 : 5,480.16 = 5,480.16 : x
  2. Step 2: Convert to fraction form
    3,651.75/5,480.16 = 5,480.16/x
  3. Step 3: Cross multiply
    3,651.75x = 5,480.16 × 5,480.16
  4. Step 4: Simplify right side
    3,651.75x = 30,032,112.52
  5. Step 5: Solve for x
    x = 30,032,112.52/3,651.75
  6. Step 6: Final answer
    x = 8,224.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.