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Finding the Third Proportional to 39,960 and 57,561

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Solution

The third proportional to 39,960 and 57,561 is: 82,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,960 : 57,561 = 57,561 : x
  2. Step 2: Convert to fraction form
    39,960/57,561 = 57,561/x
  3. Step 3: Cross multiply
    39,960x = 57,561 × 57,561
  4. Step 4: Simplify right side
    39,960x = 3,313,268,721
  5. Step 5: Solve for x
    x = 3,313,268,721/39,960
  6. Step 6: Final answer
    x = 82,914.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.