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Finding the Third Proportional to 155.44 and 338.16

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Solution

The third proportional to 155.44 and 338.16 is: 735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.44 : 338.16 = 338.16 : x
  2. Step 2: Convert to fraction form
    155.44/338.16 = 338.16/x
  3. Step 3: Cross multiply
    155.44x = 338.16 × 338.16
  4. Step 4: Simplify right side
    155.44x = 114,349.65
  5. Step 5: Solve for x
    x = 114,349.65/155.44
  6. Step 6: Final answer
    x = 735.66

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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.