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Finding the Third Proportional to 9.82 and 19.65

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Solution

The third proportional to 9.82 and 19.65 is: 39.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.82 : 19.65 = 19.65 : x
  2. Step 2: Convert to fraction form
    9.82/19.65 = 19.65/x
  3. Step 3: Cross multiply
    9.82x = 19.65 × 19.65
  4. Step 4: Simplify right side
    9.82x = 386.00
  5. Step 5: Solve for x
    x = 386.00/9.82
  6. Step 6: Final answer
    x = 39.29

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.