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Finding the Third Proportional to 109,831 and 239,804

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Solution

The third proportional to 109,831 and 239,804 is: 523,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,831 : 239,804 = 239,804 : x
  2. Step 2: Convert to fraction form
    109,831/239,804 = 239,804/x
  3. Step 3: Cross multiply
    109,831x = 239,804 × 239,804
  4. Step 4: Simplify right side
    109,831x = 57,505,958,416
  5. Step 5: Solve for x
    x = 57,505,958,416/109,831
  6. Step 6: Final answer
    x = 523,585.86

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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.