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Finding the Third Proportional to 17.80 and 38.44

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Solution

The third proportional to 17.80 and 38.44 is: 83.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.80 : 38.44 = 38.44 : x
  2. Step 2: Convert to fraction form
    17.80/38.44 = 38.44/x
  3. Step 3: Cross multiply
    17.80x = 38.44 × 38.44
  4. Step 4: Simplify right side
    17.80x = 1,477.89
  5. Step 5: Solve for x
    x = 1,477.89/17.80
  6. Step 6: Final answer
    x = 83.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.