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Finding the Third Proportional to 181,285 and 394,827

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Solution

The third proportional to 181,285 and 394,827 is: 859,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,285 : 394,827 = 394,827 : x
  2. Step 2: Convert to fraction form
    181,285/394,827 = 394,827/x
  3. Step 3: Cross multiply
    181,285x = 394,827 × 394,827
  4. Step 4: Simplify right side
    181,285x = 155,888,359,929
  5. Step 5: Solve for x
    x = 155,888,359,929/181,285
  6. Step 6: Final answer
    x = 859,907.66

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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.