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Finding the Third Proportional to 202.92 and 441.47

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Solution

The third proportional to 202.92 and 441.47 is: 960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.92 : 441.47 = 441.47 : x
  2. Step 2: Convert to fraction form
    202.92/441.47 = 441.47/x
  3. Step 3: Cross multiply
    202.92x = 441.47 × 441.47
  4. Step 4: Simplify right side
    202.92x = 194,894.66
  5. Step 5: Solve for x
    x = 194,894.66/202.92
  6. Step 6: Final answer
    x = 960.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.