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Finding the Third Proportional to 9.52 and 19.79

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Solution

The third proportional to 9.52 and 19.79 is: 41.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.52 : 19.79 = 19.79 : x
  2. Step 2: Convert to fraction form
    9.52/19.79 = 19.79/x
  3. Step 3: Cross multiply
    9.52x = 19.79 × 19.79
  4. Step 4: Simplify right side
    9.52x = 391.69
  5. Step 5: Solve for x
    x = 391.69/9.52
  6. Step 6: Final answer
    x = 41.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.