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Finding the Third Proportional to 3,282.80 and 7,203.38

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Solution

The third proportional to 3,282.80 and 7,203.38 is: 15,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.80 : 7,203.38 = 7,203.38 : x
  2. Step 2: Convert to fraction form
    3,282.80/7,203.38 = 7,203.38/x
  3. Step 3: Cross multiply
    3,282.80x = 7,203.38 × 7,203.38
  4. Step 4: Simplify right side
    3,282.80x = 51,888,611.39
  5. Step 5: Solve for x
    x = 51,888,611.39/3,282.80
  6. Step 6: Final answer
    x = 15,806.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.