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Finding the Third Proportional to 181,946 and 394,972

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Solution

The third proportional to 181,946 and 394,972 is: 857,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,946 : 394,972 = 394,972 : x
  2. Step 2: Convert to fraction form
    181,946/394,972 = 394,972/x
  3. Step 3: Cross multiply
    181,946x = 394,972 × 394,972
  4. Step 4: Simplify right side
    181,946x = 156,002,880,784
  5. Step 5: Solve for x
    x = 156,002,880,784/181,946
  6. Step 6: Final answer
    x = 857,413.08

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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.