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Finding the Third Proportional to 3,310.88 and 7,212.38

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Solution

The third proportional to 3,310.88 and 7,212.38 is: 15,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.88 : 7,212.38 = 7,212.38 : x
  2. Step 2: Convert to fraction form
    3,310.88/7,212.38 = 7,212.38/x
  3. Step 3: Cross multiply
    3,310.88x = 7,212.38 × 7,212.38
  4. Step 4: Simplify right side
    3,310.88x = 52,018,353.14
  5. Step 5: Solve for x
    x = 52,018,353.14/3,310.88
  6. Step 6: Final answer
    x = 15,711.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.