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Finding the Third Proportional to 1,643 and 3,965

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Solution

The third proportional to 1,643 and 3,965 is: 9,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643 : 3,965 = 3,965 : x
  2. Step 2: Convert to fraction form
    1,643/3,965 = 3,965/x
  3. Step 3: Cross multiply
    1,643x = 3,965 × 3,965
  4. Step 4: Simplify right side
    1,643x = 15,721,225
  5. Step 5: Solve for x
    x = 15,721,225/1,643
  6. Step 6: Final answer
    x = 9,568.61

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.