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Finding the Third Proportional to 180,774 and 394,866

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Solution

The third proportional to 180,774 and 394,866 is: 862,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,774 : 394,866 = 394,866 : x
  2. Step 2: Convert to fraction form
    180,774/394,866 = 394,866/x
  3. Step 3: Cross multiply
    180,774x = 394,866 × 394,866
  4. Step 4: Simplify right side
    180,774x = 155,919,157,956
  5. Step 5: Solve for x
    x = 155,919,157,956/180,774
  6. Step 6: Final answer
    x = 862,508.76

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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.