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Finding the Third Proportional to 180,955 and 397,601

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Solution

The third proportional to 180,955 and 397,601 is: 873,623.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,955 : 397,601 = 397,601 : x
  2. Step 2: Convert to fraction form
    180,955/397,601 = 397,601/x
  3. Step 3: Cross multiply
    180,955x = 397,601 × 397,601
  4. Step 4: Simplify right side
    180,955x = 158,086,555,201
  5. Step 5: Solve for x
    x = 158,086,555,201/180,955
  6. Step 6: Final answer
    x = 873,623.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.