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Finding the Third Proportional to 3,999 and 8,255.25

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Solution

The third proportional to 3,999 and 8,255.25 is: 17,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999 : 8,255.25 = 8,255.25 : x
  2. Step 2: Convert to fraction form
    3,999/8,255.25 = 8,255.25/x
  3. Step 3: Cross multiply
    3,999x = 8,255.25 × 8,255.25
  4. Step 4: Simplify right side
    3,999x = 68,149,152.56
  5. Step 5: Solve for x
    x = 68,149,152.56/3,999
  6. Step 6: Final answer
    x = 17,041.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.