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Finding the Third Proportional to 40,879 and 87,995

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Solution

The third proportional to 40,879 and 87,995 is: 189,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,879 : 87,995 = 87,995 : x
  2. Step 2: Convert to fraction form
    40,879/87,995 = 87,995/x
  3. Step 3: Cross multiply
    40,879x = 87,995 × 87,995
  4. Step 4: Simplify right side
    40,879x = 7,743,120,025
  5. Step 5: Solve for x
    x = 7,743,120,025/40,879
  6. Step 6: Final answer
    x = 189,415.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.