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Finding the Third Proportional to 9.84 and 20.95

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Solution

The third proportional to 9.84 and 20.95 is: 44.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.84 : 20.95 = 20.95 : x
  2. Step 2: Convert to fraction form
    9.84/20.95 = 20.95/x
  3. Step 3: Cross multiply
    9.84x = 20.95 × 20.95
  4. Step 4: Simplify right side
    9.84x = 439.03
  5. Step 5: Solve for x
    x = 439.03/9.84
  6. Step 6: Final answer
    x = 44.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.