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Finding the Third Proportional to 280.97 and 573.05

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Solution

The third proportional to 280.97 and 573.05 is: 1,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.97 : 573.05 = 573.05 : x
  2. Step 2: Convert to fraction form
    280.97/573.05 = 573.05/x
  3. Step 3: Cross multiply
    280.97x = 573.05 × 573.05
  4. Step 4: Simplify right side
    280.97x = 328,382.72
  5. Step 5: Solve for x
    x = 328,382.72/280.97
  6. Step 6: Final answer
    x = 1,168.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.