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Finding the Third Proportional to 11.63 and 21.54

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Solution

The third proportional to 11.63 and 21.54 is: 39.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.63 : 21.54 = 21.54 : x
  2. Step 2: Convert to fraction form
    11.63/21.54 = 21.54/x
  3. Step 3: Cross multiply
    11.63x = 21.54 × 21.54
  4. Step 4: Simplify right side
    11.63x = 463.77
  5. Step 5: Solve for x
    x = 463.77/11.63
  6. Step 6: Final answer
    x = 39.88

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.