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Finding the Third Proportional to 209.63 and 447.94

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Solution

The third proportional to 209.63 and 447.94 is: 957.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.63 : 447.94 = 447.94 : x
  2. Step 2: Convert to fraction form
    209.63/447.94 = 447.94/x
  3. Step 3: Cross multiply
    209.63x = 447.94 × 447.94
  4. Step 4: Simplify right side
    209.63x = 200,648.00
  5. Step 5: Solve for x
    x = 200,648.00/209.63
  6. Step 6: Final answer
    x = 957.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.