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Finding the Third Proportional to 65.75 and 103.75

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Solution

The third proportional to 65.75 and 103.75 is: 163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.75 : 103.75 = 103.75 : x
  2. Step 2: Convert to fraction form
    65.75/103.75 = 103.75/x
  3. Step 3: Cross multiply
    65.75x = 103.75 × 103.75
  4. Step 4: Simplify right side
    65.75x = 10,764.06
  5. Step 5: Solve for x
    x = 10,764.06/65.75
  6. Step 6: Final answer
    x = 163.71

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.