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Finding the Third Proportional to 203.77 and 441.70

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Solution

The third proportional to 203.77 and 441.70 is: 957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.77 : 441.70 = 441.70 : x
  2. Step 2: Convert to fraction form
    203.77/441.70 = 441.70/x
  3. Step 3: Cross multiply
    203.77x = 441.70 × 441.70
  4. Step 4: Simplify right side
    203.77x = 195,101.65
  5. Step 5: Solve for x
    x = 195,101.65/203.77
  6. Step 6: Final answer
    x = 957.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.