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Finding the Third Proportional to 398.63 and 878.44

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Solution

The third proportional to 398.63 and 878.44 is: 1,935.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.63 : 878.44 = 878.44 : x
  2. Step 2: Convert to fraction form
    398.63/878.44 = 878.44/x
  3. Step 3: Cross multiply
    398.63x = 878.44 × 878.44
  4. Step 4: Simplify right side
    398.63x = 771,652.44
  5. Step 5: Solve for x
    x = 771,652.44/398.63
  6. Step 6: Final answer
    x = 1,935.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.