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Finding the Third Proportional to 249.94 and 512.34

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Solution

The third proportional to 249.94 and 512.34 is: 1,050.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.94 : 512.34 = 512.34 : x
  2. Step 2: Convert to fraction form
    249.94/512.34 = 512.34/x
  3. Step 3: Cross multiply
    249.94x = 512.34 × 512.34
  4. Step 4: Simplify right side
    249.94x = 262,496.12
  5. Step 5: Solve for x
    x = 262,496.12/249.94
  6. Step 6: Final answer
    x = 1,050.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.