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Finding the Third Proportional to 12.25 and 19.75

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Solution

The third proportional to 12.25 and 19.75 is: 31.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.25 : 19.75 = 19.75 : x
  2. Step 2: Convert to fraction form
    12.25/19.75 = 19.75/x
  3. Step 3: Cross multiply
    12.25x = 19.75 × 19.75
  4. Step 4: Simplify right side
    12.25x = 390.06
  5. Step 5: Solve for x
    x = 390.06/12.25
  6. Step 6: Final answer
    x = 31.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.