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Finding the Third Proportional to 249.64 and 519.22

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Solution

The third proportional to 249.64 and 519.22 is: 1,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.64 : 519.22 = 519.22 : x
  2. Step 2: Convert to fraction form
    249.64/519.22 = 519.22/x
  3. Step 3: Cross multiply
    249.64x = 519.22 × 519.22
  4. Step 4: Simplify right side
    249.64x = 269,592.17
  5. Step 5: Solve for x
    x = 269,592.17/249.64
  6. Step 6: Final answer
    x = 1,079.90

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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.