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Finding the Third Proportional to 3.49 and 7.73

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Solution

The third proportional to 3.49 and 7.73 is: 17.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.49 : 7.73 = 7.73 : x
  2. Step 2: Convert to fraction form
    3.49/7.73 = 7.73/x
  3. Step 3: Cross multiply
    3.49x = 7.73 × 7.73
  4. Step 4: Simplify right side
    3.49x = 59.82
  5. Step 5: Solve for x
    x = 59.82/3.49
  6. Step 6: Final answer
    x = 17.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.