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Finding the Third Proportional to 3,277 and 7,045

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Solution

The third proportional to 3,277 and 7,045 is: 15,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277 : 7,045 = 7,045 : x
  2. Step 2: Convert to fraction form
    3,277/7,045 = 7,045/x
  3. Step 3: Cross multiply
    3,277x = 7,045 × 7,045
  4. Step 4: Simplify right side
    3,277x = 49,632,025
  5. Step 5: Solve for x
    x = 49,632,025/3,277
  6. Step 6: Final answer
    x = 15,145.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.