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Finding the Third Proportional to 173.87 and 378.11

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Solution

The third proportional to 173.87 and 378.11 is: 822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.87 : 378.11 = 378.11 : x
  2. Step 2: Convert to fraction form
    173.87/378.11 = 378.11/x
  3. Step 3: Cross multiply
    173.87x = 378.11 × 378.11
  4. Step 4: Simplify right side
    173.87x = 142,963.75
  5. Step 5: Solve for x
    x = 142,963.75/173.87
  6. Step 6: Final answer
    x = 822.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.