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Finding the Third Proportional to 177.88 and 388.94

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Solution

The third proportional to 177.88 and 388.94 is: 850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.88 : 388.94 = 388.94 : x
  2. Step 2: Convert to fraction form
    177.88/388.94 = 388.94/x
  3. Step 3: Cross multiply
    177.88x = 388.94 × 388.94
  4. Step 4: Simplify right side
    177.88x = 151,272.38
  5. Step 5: Solve for x
    x = 151,272.38/177.88
  6. Step 6: Final answer
    x = 850.44

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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.