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Finding the Third Proportional to 178.25 and 388.38

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Solution

The third proportional to 178.25 and 388.38 is: 846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.25 : 388.38 = 388.38 : x
  2. Step 2: Convert to fraction form
    178.25/388.38 = 388.38/x
  3. Step 3: Cross multiply
    178.25x = 388.38 × 388.38
  4. Step 4: Simplify right side
    178.25x = 150,835.14
  5. Step 5: Solve for x
    x = 150,835.14/178.25
  6. Step 6: Final answer
    x = 846.20

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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.