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Finding the Third Proportional to 8.16 and 11.88

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Solution

The third proportional to 8.16 and 11.88 is: 17.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.16 : 11.88 = 11.88 : x
  2. Step 2: Convert to fraction form
    8.16/11.88 = 11.88/x
  3. Step 3: Cross multiply
    8.16x = 11.88 × 11.88
  4. Step 4: Simplify right side
    8.16x = 141.20
  5. Step 5: Solve for x
    x = 141.20/8.16
  6. Step 6: Final answer
    x = 17.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.