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Finding the Third Proportional to 20.58 and 24.33

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Solution

The third proportional to 20.58 and 24.33 is: 28.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.58 : 24.33 = 24.33 : x
  2. Step 2: Convert to fraction form
    20.58/24.33 = 24.33/x
  3. Step 3: Cross multiply
    20.58x = 24.33 × 24.33
  4. Step 4: Simplify right side
    20.58x = 591.86
  5. Step 5: Solve for x
    x = 591.86/20.58
  6. Step 6: Final answer
    x = 28.76

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.