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Finding the Third Proportional to 11.77 and 21.32

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Solution

The third proportional to 11.77 and 21.32 is: 38.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.77 : 21.32 = 21.32 : x
  2. Step 2: Convert to fraction form
    11.77/21.32 = 21.32/x
  3. Step 3: Cross multiply
    11.77x = 21.32 × 21.32
  4. Step 4: Simplify right side
    11.77x = 454.61
  5. Step 5: Solve for x
    x = 454.61/11.77
  6. Step 6: Final answer
    x = 38.61

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.