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Finding the Third Proportional to 178.41 and 380.44

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Solution

The third proportional to 178.41 and 380.44 is: 811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.41 : 380.44 = 380.44 : x
  2. Step 2: Convert to fraction form
    178.41/380.44 = 380.44/x
  3. Step 3: Cross multiply
    178.41x = 380.44 × 380.44
  4. Step 4: Simplify right side
    178.41x = 144,732.69
  5. Step 5: Solve for x
    x = 144,732.69/178.41
  6. Step 6: Final answer
    x = 811.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.