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Finding the Third Proportional to 3,163.75 and 6,889.90

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Solution

The third proportional to 3,163.75 and 6,889.90 is: 15,004.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.75 : 6,889.90 = 6,889.90 : x
  2. Step 2: Convert to fraction form
    3,163.75/6,889.90 = 6,889.90/x
  3. Step 3: Cross multiply
    3,163.75x = 6,889.90 × 6,889.90
  4. Step 4: Simplify right side
    3,163.75x = 47,470,781.22
  5. Step 5: Solve for x
    x = 47,470,781.22/3,163.75
  6. Step 6: Final answer
    x = 15,004.61

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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.