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Finding the Third Proportional to 173.07 and 379.37

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Solution

The third proportional to 173.07 and 379.37 is: 831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.07 : 379.37 = 379.37 : x
  2. Step 2: Convert to fraction form
    173.07/379.37 = 379.37/x
  3. Step 3: Cross multiply
    173.07x = 379.37 × 379.37
  4. Step 4: Simplify right side
    173.07x = 143,922.43
  5. Step 5: Solve for x
    x = 143,922.43/173.07
  6. Step 6: Final answer
    x = 831.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.