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Finding the Third Proportional to 76.13 and 161.74

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Solution

The third proportional to 76.13 and 161.74 is: 343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.13 : 161.74 = 161.74 : x
  2. Step 2: Convert to fraction form
    76.13/161.74 = 161.74/x
  3. Step 3: Cross multiply
    76.13x = 161.74 × 161.74
  4. Step 4: Simplify right side
    76.13x = 26,160.54
  5. Step 5: Solve for x
    x = 26,160.54/76.13
  6. Step 6: Final answer
    x = 343.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.