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Finding the Third Proportional to 40,864 and 87,983

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Solution

The third proportional to 40,864 and 87,983 is: 189,433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,864 : 87,983 = 87,983 : x
  2. Step 2: Convert to fraction form
    40,864/87,983 = 87,983/x
  3. Step 3: Cross multiply
    40,864x = 87,983 × 87,983
  4. Step 4: Simplify right side
    40,864x = 7,741,008,289
  5. Step 5: Solve for x
    x = 7,741,008,289/40,864
  6. Step 6: Final answer
    x = 189,433.44

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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.