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Finding the Third Proportional to 3,121.31 and 6,625.69

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Solution

The third proportional to 3,121.31 and 6,625.69 is: 14,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.31 : 6,625.69 = 6,625.69 : x
  2. Step 2: Convert to fraction form
    3,121.31/6,625.69 = 6,625.69/x
  3. Step 3: Cross multiply
    3,121.31x = 6,625.69 × 6,625.69
  4. Step 4: Simplify right side
    3,121.31x = 43,899,734.85
  5. Step 5: Solve for x
    x = 43,899,734.85/3,121.31
  6. Step 6: Final answer
    x = 14,064.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.