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Finding the Third Proportional to 20.87 and 28.89

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Solution

The third proportional to 20.87 and 28.89 is: 40.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.87 : 28.89 = 28.89 : x
  2. Step 2: Convert to fraction form
    20.87/28.89 = 28.89/x
  3. Step 3: Cross multiply
    20.87x = 28.89 × 28.89
  4. Step 4: Simplify right side
    20.87x = 834.79
  5. Step 5: Solve for x
    x = 834.79/20.87
  6. Step 6: Final answer
    x = 40.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.