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Finding the Third Proportional to 180,965 and 394,054

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Solution

The third proportional to 180,965 and 394,054 is: 858,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,965 : 394,054 = 394,054 : x
  2. Step 2: Convert to fraction form
    180,965/394,054 = 394,054/x
  3. Step 3: Cross multiply
    180,965x = 394,054 × 394,054
  4. Step 4: Simplify right side
    180,965x = 155,278,554,916
  5. Step 5: Solve for x
    x = 155,278,554,916/180,965
  6. Step 6: Final answer
    x = 858,058.49

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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.