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Finding the Third Proportional to 2.71 and 7.45

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Solution

The third proportional to 2.71 and 7.45 is: 20.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.71 : 7.45 = 7.45 : x
  2. Step 2: Convert to fraction form
    2.71/7.45 = 7.45/x
  3. Step 3: Cross multiply
    2.71x = 7.45 × 7.45
  4. Step 4: Simplify right side
    2.71x = 55.49
  5. Step 5: Solve for x
    x = 55.49/2.71
  6. Step 6: Final answer
    x = 20.48

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.