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Finding the Third Proportional to 180.75 and 379.31

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Solution

The third proportional to 180.75 and 379.31 is: 796.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.75 : 379.31 = 379.31 : x
  2. Step 2: Convert to fraction form
    180.75/379.31 = 379.31/x
  3. Step 3: Cross multiply
    180.75x = 379.31 × 379.31
  4. Step 4: Simplify right side
    180.75x = 143,877.97
  5. Step 5: Solve for x
    x = 143,877.97/180.75
  6. Step 6: Final answer
    x = 796.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.