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Finding the Third Proportional to 9.12 and 18.89

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Solution

The third proportional to 9.12 and 18.89 is: 39.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.12 : 18.89 = 18.89 : x
  2. Step 2: Convert to fraction form
    9.12/18.89 = 18.89/x
  3. Step 3: Cross multiply
    9.12x = 18.89 × 18.89
  4. Step 4: Simplify right side
    9.12x = 356.86
  5. Step 5: Solve for x
    x = 356.86/9.12
  6. Step 6: Final answer
    x = 39.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.