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Finding the Third Proportional to 280.85 and 584.13

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Solution

The third proportional to 280.85 and 584.13 is: 1,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.85 : 584.13 = 584.13 : x
  2. Step 2: Convert to fraction form
    280.85/584.13 = 584.13/x
  3. Step 3: Cross multiply
    280.85x = 584.13 × 584.13
  4. Step 4: Simplify right side
    280.85x = 341,202.59
  5. Step 5: Solve for x
    x = 341,202.59/280.85
  6. Step 6: Final answer
    x = 1,214.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.