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Finding the Third Proportional to 280.75 and 617.38

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Solution

The third proportional to 280.75 and 617.38 is: 1,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.75 : 617.38 = 617.38 : x
  2. Step 2: Convert to fraction form
    280.75/617.38 = 617.38/x
  3. Step 3: Cross multiply
    280.75x = 617.38 × 617.38
  4. Step 4: Simplify right side
    280.75x = 381,151.89
  5. Step 5: Solve for x
    x = 381,151.89/280.75
  6. Step 6: Final answer
    x = 1,357.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.