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Finding the Third Proportional to 83.29 and 177.98

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Solution

The third proportional to 83.29 and 177.98 is: 380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.29 : 177.98 = 177.98 : x
  2. Step 2: Convert to fraction form
    83.29/177.98 = 177.98/x
  3. Step 3: Cross multiply
    83.29x = 177.98 × 177.98
  4. Step 4: Simplify right side
    83.29x = 31,676.35
  5. Step 5: Solve for x
    x = 31,676.35/83.29
  6. Step 6: Final answer
    x = 380.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.