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Finding the Third Proportional to 7.49 and 16.46

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Solution

The third proportional to 7.49 and 16.46 is: 36.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.49 : 16.46 = 16.46 : x
  2. Step 2: Convert to fraction form
    7.49/16.46 = 16.46/x
  3. Step 3: Cross multiply
    7.49x = 16.46 × 16.46
  4. Step 4: Simplify right side
    7.49x = 270.88
  5. Step 5: Solve for x
    x = 270.88/7.49
  6. Step 6: Final answer
    x = 36.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.