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Finding the Third Proportional to 380.75 and 584.25

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Solution

The third proportional to 380.75 and 584.25 is: 896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.75 : 584.25 = 584.25 : x
  2. Step 2: Convert to fraction form
    380.75/584.25 = 584.25/x
  3. Step 3: Cross multiply
    380.75x = 584.25 × 584.25
  4. Step 4: Simplify right side
    380.75x = 341,348.06
  5. Step 5: Solve for x
    x = 341,348.06/380.75
  6. Step 6: Final answer
    x = 896.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.