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Finding the Third Proportional to 155.38 and 357.44

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Solution

The third proportional to 155.38 and 357.44 is: 822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.38 : 357.44 = 357.44 : x
  2. Step 2: Convert to fraction form
    155.38/357.44 = 357.44/x
  3. Step 3: Cross multiply
    155.38x = 357.44 × 357.44
  4. Step 4: Simplify right side
    155.38x = 127,761.57
  5. Step 5: Solve for x
    x = 127,761.57/155.38
  6. Step 6: Final answer
    x = 822.28

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.