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Finding the Third Proportional to 82.76 and 176.84

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Solution

The third proportional to 82.76 and 176.84 is: 377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.76 : 176.84 = 176.84 : x
  2. Step 2: Convert to fraction form
    82.76/176.84 = 176.84/x
  3. Step 3: Cross multiply
    82.76x = 176.84 × 176.84
  4. Step 4: Simplify right side
    82.76x = 31,270.95
  5. Step 5: Solve for x
    x = 31,270.95/82.76
  6. Step 6: Final answer
    x = 377.86

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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.