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Finding the Third Proportional to 250.92 and 333.05

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Solution

The third proportional to 250.92 and 333.05 is: 442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.92 : 333.05 = 333.05 : x
  2. Step 2: Convert to fraction form
    250.92/333.05 = 333.05/x
  3. Step 3: Cross multiply
    250.92x = 333.05 × 333.05
  4. Step 4: Simplify right side
    250.92x = 110,920.22
  5. Step 5: Solve for x
    x = 110,920.22/250.92
  6. Step 6: Final answer
    x = 442.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.