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Finding the Third Proportional to 167.91 and 361.41

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Solution

The third proportional to 167.91 and 361.41 is: 777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.91 : 361.41 = 361.41 : x
  2. Step 2: Convert to fraction form
    167.91/361.41 = 361.41/x
  3. Step 3: Cross multiply
    167.91x = 361.41 × 361.41
  4. Step 4: Simplify right side
    167.91x = 130,614.48
  5. Step 5: Solve for x
    x = 130,614.48/167.91
  6. Step 6: Final answer
    x = 777.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.