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Finding the Third Proportional to 249.75 and 390.97

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Solution

The third proportional to 249.75 and 390.97 is: 612.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.75 : 390.97 = 390.97 : x
  2. Step 2: Convert to fraction form
    249.75/390.97 = 390.97/x
  3. Step 3: Cross multiply
    249.75x = 390.97 × 390.97
  4. Step 4: Simplify right side
    249.75x = 152,856.56
  5. Step 5: Solve for x
    x = 152,856.56/249.75
  6. Step 6: Final answer
    x = 612.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.