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Finding the Third Proportional to 20.06 and 40.84

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Solution

The third proportional to 20.06 and 40.84 is: 83.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.06 : 40.84 = 40.84 : x
  2. Step 2: Convert to fraction form
    20.06/40.84 = 40.84/x
  3. Step 3: Cross multiply
    20.06x = 40.84 × 40.84
  4. Step 4: Simplify right side
    20.06x = 1,668.21
  5. Step 5: Solve for x
    x = 1,668.21/20.06
  6. Step 6: Final answer
    x = 83.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.