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Finding the Third Proportional to 69,789 and 150,027

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Solution

The third proportional to 69,789 and 150,027 is: 322,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,789 : 150,027 = 150,027 : x
  2. Step 2: Convert to fraction form
    69,789/150,027 = 150,027/x
  3. Step 3: Cross multiply
    69,789x = 150,027 × 150,027
  4. Step 4: Simplify right side
    69,789x = 22,508,100,729
  5. Step 5: Solve for x
    x = 22,508,100,729/69,789
  6. Step 6: Final answer
    x = 322,516.45

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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.