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Finding the Third Proportional to 20.14 and 43.28

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Solution

The third proportional to 20.14 and 43.28 is: 93.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.14 : 43.28 = 43.28 : x
  2. Step 2: Convert to fraction form
    20.14/43.28 = 43.28/x
  3. Step 3: Cross multiply
    20.14x = 43.28 × 43.28
  4. Step 4: Simplify right side
    20.14x = 1,873.13
  5. Step 5: Solve for x
    x = 1,873.13/20.14
  6. Step 6: Final answer
    x = 93.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.