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Finding the Third Proportional to 251.91 and 546.56

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Solution

The third proportional to 251.91 and 546.56 is: 1,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.91 : 546.56 = 546.56 : x
  2. Step 2: Convert to fraction form
    251.91/546.56 = 546.56/x
  3. Step 3: Cross multiply
    251.91x = 546.56 × 546.56
  4. Step 4: Simplify right side
    251.91x = 298,730.57
  5. Step 5: Solve for x
    x = 298,730.57/251.91
  6. Step 6: Final answer
    x = 1,185.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.