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Finding the Third Proportional to 181,340 and 394,942

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Solution

The third proportional to 181,340 and 394,942 is: 860,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,340 : 394,942 = 394,942 : x
  2. Step 2: Convert to fraction form
    181,340/394,942 = 394,942/x
  3. Step 3: Cross multiply
    181,340x = 394,942 × 394,942
  4. Step 4: Simplify right side
    181,340x = 155,979,183,364
  5. Step 5: Solve for x
    x = 155,979,183,364/181,340
  6. Step 6: Final answer
    x = 860,147.70

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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.