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Finding the Third Proportional to 20.16 and 29.16

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Solution

The third proportional to 20.16 and 29.16 is: 42.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.16 : 29.16 = 29.16 : x
  2. Step 2: Convert to fraction form
    20.16/29.16 = 29.16/x
  3. Step 3: Cross multiply
    20.16x = 29.16 × 29.16
  4. Step 4: Simplify right side
    20.16x = 850.09
  5. Step 5: Solve for x
    x = 850.09/20.16
  6. Step 6: Final answer
    x = 42.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.