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Finding the Third Proportional to 103.78 and 193.64

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Solution

The third proportional to 103.78 and 193.64 is: 361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.78 : 193.64 = 193.64 : x
  2. Step 2: Convert to fraction form
    103.78/193.64 = 193.64/x
  3. Step 3: Cross multiply
    103.78x = 193.64 × 193.64
  4. Step 4: Simplify right side
    103.78x = 37,496.69
  5. Step 5: Solve for x
    x = 37,496.69/103.78
  6. Step 6: Final answer
    x = 361.31

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.