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Finding the Third Proportional to 184.25 and 398.38

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Solution

The third proportional to 184.25 and 398.38 is: 861.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.25 : 398.38 = 398.38 : x
  2. Step 2: Convert to fraction form
    184.25/398.38 = 398.38/x
  3. Step 3: Cross multiply
    184.25x = 398.38 × 398.38
  4. Step 4: Simplify right side
    184.25x = 158,702.64
  5. Step 5: Solve for x
    x = 158,702.64/184.25
  6. Step 6: Final answer
    x = 861.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.