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Finding the Third Proportional to 2.97 and 6.72

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Solution

The third proportional to 2.97 and 6.72 is: 15.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.97 : 6.72 = 6.72 : x
  2. Step 2: Convert to fraction form
    2.97/6.72 = 6.72/x
  3. Step 3: Cross multiply
    2.97x = 6.72 × 6.72
  4. Step 4: Simplify right side
    2.97x = 45.14
  5. Step 5: Solve for x
    x = 45.14/2.97
  6. Step 6: Final answer
    x = 15.21

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.