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Finding the Third Proportional to 9.64 and 20.79

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Solution

The third proportional to 9.64 and 20.79 is: 44.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.64 : 20.79 = 20.79 : x
  2. Step 2: Convert to fraction form
    9.64/20.79 = 20.79/x
  3. Step 3: Cross multiply
    9.64x = 20.79 × 20.79
  4. Step 4: Simplify right side
    9.64x = 432.28
  5. Step 5: Solve for x
    x = 432.28/9.64
  6. Step 6: Final answer
    x = 44.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.