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Finding the Third Proportional to 280.55 and 547.17

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Solution

The third proportional to 280.55 and 547.17 is: 1,067.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.55 : 547.17 = 547.17 : x
  2. Step 2: Convert to fraction form
    280.55/547.17 = 547.17/x
  3. Step 3: Cross multiply
    280.55x = 547.17 × 547.17
  4. Step 4: Simplify right side
    280.55x = 299,397.06
  5. Step 5: Solve for x
    x = 299,397.06/280.55
  6. Step 6: Final answer
    x = 1,067.19

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.