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Finding the Third Proportional to 39,936 and 66,561

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Solution

The third proportional to 39,936 and 66,561 is: 110,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,936 : 66,561 = 66,561 : x
  2. Step 2: Convert to fraction form
    39,936/66,561 = 66,561/x
  3. Step 3: Cross multiply
    39,936x = 66,561 × 66,561
  4. Step 4: Simplify right side
    39,936x = 4,430,366,721
  5. Step 5: Solve for x
    x = 4,430,366,721/39,936
  6. Step 6: Final answer
    x = 110,936.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.