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Finding the Third Proportional to 17.24 and 37.77

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Solution

The third proportional to 17.24 and 37.77 is: 82.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.24 : 37.77 = 37.77 : x
  2. Step 2: Convert to fraction form
    17.24/37.77 = 37.77/x
  3. Step 3: Cross multiply
    17.24x = 37.77 × 37.77
  4. Step 4: Simplify right side
    17.24x = 1,426.54
  5. Step 5: Solve for x
    x = 1,426.54/17.24
  6. Step 6: Final answer
    x = 82.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.