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Finding the Third Proportional to 361.94 and 513.78

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Solution

The third proportional to 361.94 and 513.78 is: 729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.94 : 513.78 = 513.78 : x
  2. Step 2: Convert to fraction form
    361.94/513.78 = 513.78/x
  3. Step 3: Cross multiply
    361.94x = 513.78 × 513.78
  4. Step 4: Simplify right side
    361.94x = 263,971.17
  5. Step 5: Solve for x
    x = 263,971.17/361.94
  6. Step 6: Final answer
    x = 729.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.