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Finding the Third Proportional to 7.24 and 15.26

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Solution

The third proportional to 7.24 and 15.26 is: 32.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.24 : 15.26 = 15.26 : x
  2. Step 2: Convert to fraction form
    7.24/15.26 = 15.26/x
  3. Step 3: Cross multiply
    7.24x = 15.26 × 15.26
  4. Step 4: Simplify right side
    7.24x = 232.98
  5. Step 5: Solve for x
    x = 232.98/7.24
  6. Step 6: Final answer
    x = 32.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.