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Finding the Third Proportional to 2.78 and 6.11

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Solution

The third proportional to 2.78 and 6.11 is: 13.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.78 : 6.11 = 6.11 : x
  2. Step 2: Convert to fraction form
    2.78/6.11 = 6.11/x
  3. Step 3: Cross multiply
    2.78x = 6.11 × 6.11
  4. Step 4: Simplify right side
    2.78x = 37.30
  5. Step 5: Solve for x
    x = 37.30/2.78
  6. Step 6: Final answer
    x = 13.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.