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Finding the Third Proportional to 799 and 878

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Solution

The third proportional to 799 and 878 is: 964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    799 : 878 = 878 : x
  2. Step 2: Convert to fraction form
    799/878 = 878/x
  3. Step 3: Cross multiply
    799x = 878 × 878
  4. Step 4: Simplify right side
    799x = 770,884
  5. Step 5: Solve for x
    x = 770,884/799
  6. Step 6: Final answer
    x = 964.81

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.