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Finding the Third Proportional to 3.74 and 7.83

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Solution

The third proportional to 3.74 and 7.83 is: 16.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.74 : 7.83 = 7.83 : x
  2. Step 2: Convert to fraction form
    3.74/7.83 = 7.83/x
  3. Step 3: Cross multiply
    3.74x = 7.83 × 7.83
  4. Step 4: Simplify right side
    3.74x = 61.37
  5. Step 5: Solve for x
    x = 61.37/3.74
  6. Step 6: Final answer
    x = 16.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.