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Finding the Third Proportional to 6.23 and 7.04

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Solution

The third proportional to 6.23 and 7.04 is: 7.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.23 : 7.04 = 7.04 : x
  2. Step 2: Convert to fraction form
    6.23/7.04 = 7.04/x
  3. Step 3: Cross multiply
    6.23x = 7.04 × 7.04
  4. Step 4: Simplify right side
    6.23x = 49.56
  5. Step 5: Solve for x
    x = 49.56/6.23
  6. Step 6: Final answer
    x = 7.95

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.