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Finding the Third Proportional to 20.75 and 35.19

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Solution

The third proportional to 20.75 and 35.19 is: 59.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.75 : 35.19 = 35.19 : x
  2. Step 2: Convert to fraction form
    20.75/35.19 = 35.19/x
  3. Step 3: Cross multiply
    20.75x = 35.19 × 35.19
  4. Step 4: Simplify right side
    20.75x = 1,238.16
  5. Step 5: Solve for x
    x = 1,238.16/20.75
  6. Step 6: Final answer
    x = 59.67

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.