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Finding the Third Proportional to 6.63 and 11.76

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Solution

The third proportional to 6.63 and 11.76 is: 20.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.63 : 11.76 = 11.76 : x
  2. Step 2: Convert to fraction form
    6.63/11.76 = 11.76/x
  3. Step 3: Cross multiply
    6.63x = 11.76 × 11.76
  4. Step 4: Simplify right side
    6.63x = 138.29
  5. Step 5: Solve for x
    x = 138.29/6.63
  6. Step 6: Final answer
    x = 20.86

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.