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Finding the Third Proportional to 17.30 and 37.34

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Solution

The third proportional to 17.30 and 37.34 is: 80.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.30 : 37.34 = 37.34 : x
  2. Step 2: Convert to fraction form
    17.30/37.34 = 37.34/x
  3. Step 3: Cross multiply
    17.30x = 37.34 × 37.34
  4. Step 4: Simplify right side
    17.30x = 1,393.97
  5. Step 5: Solve for x
    x = 1,393.97/17.30
  6. Step 6: Final answer
    x = 80.59

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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.