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Finding the Third Proportional to 39,975 and 87,999

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Solution

The third proportional to 39,975 and 87,999 is: 193,716.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,975 : 87,999 = 87,999 : x
  2. Step 2: Convert to fraction form
    39,975/87,999 = 87,999/x
  3. Step 3: Cross multiply
    39,975x = 87,999 × 87,999
  4. Step 4: Simplify right side
    39,975x = 7,743,824,001
  5. Step 5: Solve for x
    x = 7,743,824,001/39,975
  6. Step 6: Final answer
    x = 193,716.67

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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.