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Finding the Third Proportional to 31,782 and 69,027

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Solution

The third proportional to 31,782 and 69,027 is: 149,919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782 : 69,027 = 69,027 : x
  2. Step 2: Convert to fraction form
    31,782/69,027 = 69,027/x
  3. Step 3: Cross multiply
    31,782x = 69,027 × 69,027
  4. Step 4: Simplify right side
    31,782x = 4,764,726,729
  5. Step 5: Solve for x
    x = 4,764,726,729/31,782
  6. Step 6: Final answer
    x = 149,919.03

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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.