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Finding the Third Proportional to 6.67 and 14.54

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Solution

The third proportional to 6.67 and 14.54 is: 31.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.67 : 14.54 = 14.54 : x
  2. Step 2: Convert to fraction form
    6.67/14.54 = 14.54/x
  3. Step 3: Cross multiply
    6.67x = 14.54 × 14.54
  4. Step 4: Simplify right side
    6.67x = 211.35
  5. Step 5: Solve for x
    x = 211.35/6.67
  6. Step 6: Final answer
    x = 31.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.