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Finding the Third Proportional to 2.81 and 6.24

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Solution

The third proportional to 2.81 and 6.24 is: 13.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.81 : 6.24 = 6.24 : x
  2. Step 2: Convert to fraction form
    2.81/6.24 = 6.24/x
  3. Step 3: Cross multiply
    2.81x = 6.24 × 6.24
  4. Step 4: Simplify right side
    2.81x = 38.97
  5. Step 5: Solve for x
    x = 38.97/2.81
  6. Step 6: Final answer
    x = 13.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.