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Finding the Third Proportional to 202.92 and 441.36

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Solution

The third proportional to 202.92 and 441.36 is: 959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.92 : 441.36 = 441.36 : x
  2. Step 2: Convert to fraction form
    202.92/441.36 = 441.36/x
  3. Step 3: Cross multiply
    202.92x = 441.36 × 441.36
  4. Step 4: Simplify right side
    202.92x = 194,797.02
  5. Step 5: Solve for x
    x = 194,797.02/202.92
  6. Step 6: Final answer
    x = 959.95

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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.