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Finding the Third Proportional to 25 and 30.75

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Solution

The third proportional to 25 and 30.75 is: 37.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25 : 30.75 = 30.75 : x
  2. Step 2: Convert to fraction form
    25/30.75 = 30.75/x
  3. Step 3: Cross multiply
    25x = 30.75 × 30.75
  4. Step 4: Simplify right side
    25x = 945.56
  5. Step 5: Solve for x
    x = 945.56/25
  6. Step 6: Final answer
    x = 37.82

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.