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Finding the Third Proportional to 394.56 and 584.19

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Solution

The third proportional to 394.56 and 584.19 is: 864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.56 : 584.19 = 584.19 : x
  2. Step 2: Convert to fraction form
    394.56/584.19 = 584.19/x
  3. Step 3: Cross multiply
    394.56x = 584.19 × 584.19
  4. Step 4: Simplify right side
    394.56x = 341,279.60
  5. Step 5: Solve for x
    x = 341,279.60/394.56
  6. Step 6: Final answer
    x = 864.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.