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Finding the Third Proportional to 3,485.25 and 6,144.75

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Solution

The third proportional to 3,485.25 and 6,144.75 is: 10,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.25 : 6,144.75 = 6,144.75 : x
  2. Step 2: Convert to fraction form
    3,485.25/6,144.75 = 6,144.75/x
  3. Step 3: Cross multiply
    3,485.25x = 6,144.75 × 6,144.75
  4. Step 4: Simplify right side
    3,485.25x = 37,757,952.56
  5. Step 5: Solve for x
    x = 37,757,952.56/3,485.25
  6. Step 6: Final answer
    x = 10,833.64

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.