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Finding the Third Proportional to 69,831 and 151,805

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Solution

The third proportional to 69,831 and 151,805 is: 330,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,831 : 151,805 = 151,805 : x
  2. Step 2: Convert to fraction form
    69,831/151,805 = 151,805/x
  3. Step 3: Cross multiply
    69,831x = 151,805 × 151,805
  4. Step 4: Simplify right side
    69,831x = 23,044,758,025
  5. Step 5: Solve for x
    x = 23,044,758,025/69,831
  6. Step 6: Final answer
    x = 330,007.56

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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.