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Finding the Third Proportional to 6.74 and 9.74

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Solution

The third proportional to 6.74 and 9.74 is: 14.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.74 : 9.74 = 9.74 : x
  2. Step 2: Convert to fraction form
    6.74/9.74 = 9.74/x
  3. Step 3: Cross multiply
    6.74x = 9.74 × 9.74
  4. Step 4: Simplify right side
    6.74x = 94.91
  5. Step 5: Solve for x
    x = 94.91/6.74
  6. Step 6: Final answer
    x = 14.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.