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Finding the Third Proportional to 137.75 and 195.88

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Solution

The third proportional to 137.75 and 195.88 is: 278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.75 : 195.88 = 195.88 : x
  2. Step 2: Convert to fraction form
    137.75/195.88 = 195.88/x
  3. Step 3: Cross multiply
    137.75x = 195.88 × 195.88
  4. Step 4: Simplify right side
    137.75x = 38,367.02
  5. Step 5: Solve for x
    x = 38,367.02/137.75
  6. Step 6: Final answer
    x = 278.53

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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.