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Finding the Third Proportional to 6.81 and 14.56

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Solution

The third proportional to 6.81 and 14.56 is: 31.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.81 : 14.56 = 14.56 : x
  2. Step 2: Convert to fraction form
    6.81/14.56 = 14.56/x
  3. Step 3: Cross multiply
    6.81x = 14.56 × 14.56
  4. Step 4: Simplify right side
    6.81x = 212.07
  5. Step 5: Solve for x
    x = 212.07/6.81
  6. Step 6: Final answer
    x = 31.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.