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Finding the Third Proportional to 2.75 and 7.05

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Solution

The third proportional to 2.75 and 7.05 is: 18.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.75 : 7.05 = 7.05 : x
  2. Step 2: Convert to fraction form
    2.75/7.05 = 7.05/x
  3. Step 3: Cross multiply
    2.75x = 7.05 × 7.05
  4. Step 4: Simplify right side
    2.75x = 49.64
  5. Step 5: Solve for x
    x = 49.64/2.75
  6. Step 6: Final answer
    x = 18.07

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.