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Finding the Third Proportional to 173.18 and 376.73

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Solution

The third proportional to 173.18 and 376.73 is: 819.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.18 : 376.73 = 376.73 : x
  2. Step 2: Convert to fraction form
    173.18/376.73 = 376.73/x
  3. Step 3: Cross multiply
    173.18x = 376.73 × 376.73
  4. Step 4: Simplify right side
    173.18x = 141,928.79
  5. Step 5: Solve for x
    x = 141,928.79/173.18
  6. Step 6: Final answer
    x = 819.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.