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Finding the Third Proportional to 3,425.88 and 7,121.75

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Solution

The third proportional to 3,425.88 and 7,121.75 is: 14,804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.88 : 7,121.75 = 7,121.75 : x
  2. Step 2: Convert to fraction form
    3,425.88/7,121.75 = 7,121.75/x
  3. Step 3: Cross multiply
    3,425.88x = 7,121.75 × 7,121.75
  4. Step 4: Simplify right side
    3,425.88x = 50,719,323.06
  5. Step 5: Solve for x
    x = 50,719,323.06/3,425.88
  6. Step 6: Final answer
    x = 14,804.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.