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Finding the Third Proportional to 9.97 and 20.65

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Solution

The third proportional to 9.97 and 20.65 is: 42.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.97 : 20.65 = 20.65 : x
  2. Step 2: Convert to fraction form
    9.97/20.65 = 20.65/x
  3. Step 3: Cross multiply
    9.97x = 20.65 × 20.65
  4. Step 4: Simplify right side
    9.97x = 426.24
  5. Step 5: Solve for x
    x = 426.24/9.97
  6. Step 6: Final answer
    x = 42.77

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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.