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Finding the Third Proportional to 17.30 and 38.39

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Solution

The third proportional to 17.30 and 38.39 is: 85.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.30 : 38.39 = 38.39 : x
  2. Step 2: Convert to fraction form
    17.30/38.39 = 38.39/x
  3. Step 3: Cross multiply
    17.30x = 38.39 × 38.39
  4. Step 4: Simplify right side
    17.30x = 1,473.84
  5. Step 5: Solve for x
    x = 1,473.84/17.30
  6. Step 6: Final answer
    x = 85.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.