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Finding the Third Proportional to 9.93 and 20.97

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Solution

The third proportional to 9.93 and 20.97 is: 44.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.93 : 20.97 = 20.97 : x
  2. Step 2: Convert to fraction form
    9.93/20.97 = 20.97/x
  3. Step 3: Cross multiply
    9.93x = 20.97 × 20.97
  4. Step 4: Simplify right side
    9.93x = 439.63
  5. Step 5: Solve for x
    x = 439.63/9.93
  6. Step 6: Final answer
    x = 44.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.