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Finding the Third Proportional to 1,640 and 3,601

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Solution

The third proportional to 1,640 and 3,601 is: 7,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640 : 3,601 = 3,601 : x
  2. Step 2: Convert to fraction form
    1,640/3,601 = 3,601/x
  3. Step 3: Cross multiply
    1,640x = 3,601 × 3,601
  4. Step 4: Simplify right side
    1,640x = 12,967,201
  5. Step 5: Solve for x
    x = 12,967,201/1,640
  6. Step 6: Final answer
    x = 7,906.83

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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.