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Finding the Third Proportional to 7.99 and 17.24

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Solution

The third proportional to 7.99 and 17.24 is: 37.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.99 : 17.24 = 17.24 : x
  2. Step 2: Convert to fraction form
    7.99/17.24 = 17.24/x
  3. Step 3: Cross multiply
    7.99x = 17.24 × 17.24
  4. Step 4: Simplify right side
    7.99x = 297.36
  5. Step 5: Solve for x
    x = 297.36/7.99
  6. Step 6: Final answer
    x = 37.22

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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.