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Finding the Third Proportional to 6.13 and 7.25

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Solution

The third proportional to 6.13 and 7.25 is: 8.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.13 : 7.25 = 7.25 : x
  2. Step 2: Convert to fraction form
    6.13/7.25 = 7.25/x
  3. Step 3: Cross multiply
    6.13x = 7.25 × 7.25
  4. Step 4: Simplify right side
    6.13x = 52.56
  5. Step 5: Solve for x
    x = 52.56/6.13
  6. Step 6: Final answer
    x = 8.58

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.