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Finding the Third Proportional to 7.83 and 16.92

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Solution

The third proportional to 7.83 and 16.92 is: 36.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.83 : 16.92 = 16.92 : x
  2. Step 2: Convert to fraction form
    7.83/16.92 = 16.92/x
  3. Step 3: Cross multiply
    7.83x = 16.92 × 16.92
  4. Step 4: Simplify right side
    7.83x = 286.35
  5. Step 5: Solve for x
    x = 286.35/7.83
  6. Step 6: Final answer
    x = 36.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.