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Finding the Third Proportional to 205.41 and 445.03

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Solution

The third proportional to 205.41 and 445.03 is: 964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.41 : 445.03 = 445.03 : x
  2. Step 2: Convert to fraction form
    205.41/445.03 = 445.03/x
  3. Step 3: Cross multiply
    205.41x = 445.03 × 445.03
  4. Step 4: Simplify right side
    205.41x = 198,052.81
  5. Step 5: Solve for x
    x = 198,052.81/205.41
  6. Step 6: Final answer
    x = 964.20

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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.