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Finding the Third Proportional to 6.69 and 14.53

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Solution

The third proportional to 6.69 and 14.53 is: 31.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.69 : 14.53 = 14.53 : x
  2. Step 2: Convert to fraction form
    6.69/14.53 = 14.53/x
  3. Step 3: Cross multiply
    6.69x = 14.53 × 14.53
  4. Step 4: Simplify right side
    6.69x = 211.16
  5. Step 5: Solve for x
    x = 211.16/6.69
  6. Step 6: Final answer
    x = 31.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.