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Finding the Third Proportional to 127.97 and 193.78

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Solution

The third proportional to 127.97 and 193.78 is: 293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.97 : 193.78 = 193.78 : x
  2. Step 2: Convert to fraction form
    127.97/193.78 = 193.78/x
  3. Step 3: Cross multiply
    127.97x = 193.78 × 193.78
  4. Step 4: Simplify right side
    127.97x = 37,551.17
  5. Step 5: Solve for x
    x = 37,551.17/127.97
  6. Step 6: Final answer
    x = 293.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.