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Finding the Third Proportional to 181,323 and 394,905

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Solution

The third proportional to 181,323 and 394,905 is: 860,067.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,323 : 394,905 = 394,905 : x
  2. Step 2: Convert to fraction form
    181,323/394,905 = 394,905/x
  3. Step 3: Cross multiply
    181,323x = 394,905 × 394,905
  4. Step 4: Simplify right side
    181,323x = 155,949,959,025
  5. Step 5: Solve for x
    x = 155,949,959,025/181,323
  6. Step 6: Final answer
    x = 860,067.17

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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.