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Finding the Third Proportional to 184.62 and 398.20

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Solution

The third proportional to 184.62 and 398.20 is: 858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.62 : 398.20 = 398.20 : x
  2. Step 2: Convert to fraction form
    184.62/398.20 = 398.20/x
  3. Step 3: Cross multiply
    184.62x = 398.20 × 398.20
  4. Step 4: Simplify right side
    184.62x = 158,561.06
  5. Step 5: Solve for x
    x = 158,561.06/184.62
  6. Step 6: Final answer
    x = 858.84

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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.