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Finding the Third Proportional to 398.20 and 584.24

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Solution

The third proportional to 398.20 and 584.24 is: 857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.20 : 584.24 = 584.24 : x
  2. Step 2: Convert to fraction form
    398.20/584.24 = 584.24/x
  3. Step 3: Cross multiply
    398.20x = 584.24 × 584.24
  4. Step 4: Simplify right side
    398.20x = 341,341.22
  5. Step 5: Solve for x
    x = 341,341.22/398.20
  6. Step 6: Final answer
    x = 857.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.