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Finding the Third Proportional to 2.78 and 4.49

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Solution

The third proportional to 2.78 and 4.49 is: 7.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.78 : 4.49 = 4.49 : x
  2. Step 2: Convert to fraction form
    2.78/4.49 = 4.49/x
  3. Step 3: Cross multiply
    2.78x = 4.49 × 4.49
  4. Step 4: Simplify right side
    2.78x = 20.16
  5. Step 5: Solve for x
    x = 20.16/2.78
  6. Step 6: Final answer
    x = 7.25

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.