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Finding the Third Proportional to 187,906 and 394,274

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Solution

The third proportional to 187,906 and 394,274 is: 827,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,906 : 394,274 = 394,274 : x
  2. Step 2: Convert to fraction form
    187,906/394,274 = 394,274/x
  3. Step 3: Cross multiply
    187,906x = 394,274 × 394,274
  4. Step 4: Simplify right side
    187,906x = 155,451,987,076
  5. Step 5: Solve for x
    x = 155,451,987,076/187,906
  6. Step 6: Final answer
    x = 827,285.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.