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Finding the Third Proportional to 2.70 and 7.29

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Solution

The third proportional to 2.70 and 7.29 is: 19.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.70 : 7.29 = 7.29 : x
  2. Step 2: Convert to fraction form
    2.70/7.29 = 7.29/x
  3. Step 3: Cross multiply
    2.70x = 7.29 × 7.29
  4. Step 4: Simplify right side
    2.70x = 53.15
  5. Step 5: Solve for x
    x = 53.15/2.70
  6. Step 6: Final answer
    x = 19.68

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.