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Finding the Third Proportional to 180.75 and 379.78

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Solution

The third proportional to 180.75 and 379.78 is: 797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.75 : 379.78 = 379.78 : x
  2. Step 2: Convert to fraction form
    180.75/379.78 = 379.78/x
  3. Step 3: Cross multiply
    180.75x = 379.78 × 379.78
  4. Step 4: Simplify right side
    180.75x = 144,233.80
  5. Step 5: Solve for x
    x = 144,233.80/180.75
  6. Step 6: Final answer
    x = 797.97

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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.