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Finding the Third Proportional to 3,282.19 and 7,110.56

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Solution

The third proportional to 3,282.19 and 7,110.56 is: 15,404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.19 : 7,110.56 = 7,110.56 : x
  2. Step 2: Convert to fraction form
    3,282.19/7,110.56 = 7,110.56/x
  3. Step 3: Cross multiply
    3,282.19x = 7,110.56 × 7,110.56
  4. Step 4: Simplify right side
    3,282.19x = 50,560,099.07
  5. Step 5: Solve for x
    x = 50,560,099.07/3,282.19
  6. Step 6: Final answer
    x = 15,404.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.