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Finding the Third Proportional to 17.63 and 38.48

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Solution

The third proportional to 17.63 and 38.48 is: 84.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.63 : 38.48 = 38.48 : x
  2. Step 2: Convert to fraction form
    17.63/38.48 = 38.48/x
  3. Step 3: Cross multiply
    17.63x = 38.48 × 38.48
  4. Step 4: Simplify right side
    17.63x = 1,481.05
  5. Step 5: Solve for x
    x = 1,481.05/17.63
  6. Step 6: Final answer
    x = 84.03

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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.