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Finding the Third Proportional to 7.98 and 17.27

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Solution

The third proportional to 7.98 and 17.27 is: 37.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.98 : 17.27 = 17.27 : x
  2. Step 2: Convert to fraction form
    7.98/17.27 = 17.27/x
  3. Step 3: Cross multiply
    7.98x = 17.27 × 17.27
  4. Step 4: Simplify right side
    7.98x = 298.12
  5. Step 5: Solve for x
    x = 298.12/7.98
  6. Step 6: Final answer
    x = 37.35

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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.