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Finding the Third Proportional to 1,728 and 3,961

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Solution

The third proportional to 1,728 and 3,961 is: 9,079.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728 : 3,961 = 3,961 : x
  2. Step 2: Convert to fraction form
    1,728/3,961 = 3,961/x
  3. Step 3: Cross multiply
    1,728x = 3,961 × 3,961
  4. Step 4: Simplify right side
    1,728x = 15,689,521
  5. Step 5: Solve for x
    x = 15,689,521/1,728
  6. Step 6: Final answer
    x = 9,079.58

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.