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Finding the Third Proportional to 205.88 and 447.40

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Solution

The third proportional to 205.88 and 447.40 is: 972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 447.40 = 447.40 : x
  2. Step 2: Convert to fraction form
    205.88/447.40 = 447.40/x
  3. Step 3: Cross multiply
    205.88x = 447.40 × 447.40
  4. Step 4: Simplify right side
    205.88x = 200,165.36
  5. Step 5: Solve for x
    x = 200,165.36/205.88
  6. Step 6: Final answer
    x = 972.27

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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.