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Finding the Third Proportional to 20.19 and 43.23

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Solution

The third proportional to 20.19 and 43.23 is: 92.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.19 : 43.23 = 43.23 : x
  2. Step 2: Convert to fraction form
    20.19/43.23 = 43.23/x
  3. Step 3: Cross multiply
    20.19x = 43.23 × 43.23
  4. Step 4: Simplify right side
    20.19x = 1,868.75
  5. Step 5: Solve for x
    x = 1,868.75/20.19
  6. Step 6: Final answer
    x = 92.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.