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Finding the Third Proportional to 11.57 and 21.85

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Solution

The third proportional to 11.57 and 21.85 is: 41.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.57 : 21.85 = 21.85 : x
  2. Step 2: Convert to fraction form
    11.57/21.85 = 21.85/x
  3. Step 3: Cross multiply
    11.57x = 21.85 × 21.85
  4. Step 4: Simplify right side
    11.57x = 477.63
  5. Step 5: Solve for x
    x = 477.63/11.57
  6. Step 6: Final answer
    x = 41.28

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.