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Finding the Third Proportional to 2.78 and 4.31

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Solution

The third proportional to 2.78 and 4.31 is: 6.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.78 : 4.31 = 4.31 : x
  2. Step 2: Convert to fraction form
    2.78/4.31 = 4.31/x
  3. Step 3: Cross multiply
    2.78x = 4.31 × 4.31
  4. Step 4: Simplify right side
    2.78x = 18.62
  5. Step 5: Solve for x
    x = 18.62/2.78
  6. Step 6: Final answer
    x = 6.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.