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Finding the Third Proportional to 20.31 and 44.19

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Solution

The third proportional to 20.31 and 44.19 is: 96.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.31 : 44.19 = 44.19 : x
  2. Step 2: Convert to fraction form
    20.31/44.19 = 44.19/x
  3. Step 3: Cross multiply
    20.31x = 44.19 × 44.19
  4. Step 4: Simplify right side
    20.31x = 1,952.84
  5. Step 5: Solve for x
    x = 1,952.84/20.31
  6. Step 6: Final answer
    x = 96.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.