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Finding the Third Proportional to 34.31 and 79.83

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Solution

The third proportional to 34.31 and 79.83 is: 185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.31 : 79.83 = 79.83 : x
  2. Step 2: Convert to fraction form
    34.31/79.83 = 79.83/x
  3. Step 3: Cross multiply
    34.31x = 79.83 × 79.83
  4. Step 4: Simplify right side
    34.31x = 6,372.53
  5. Step 5: Solve for x
    x = 6,372.53/34.31
  6. Step 6: Final answer
    x = 185.72

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.