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Finding the Third Proportional to 209.81 and 446.63

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Solution

The third proportional to 209.81 and 446.63 is: 950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.81 : 446.63 = 446.63 : x
  2. Step 2: Convert to fraction form
    209.81/446.63 = 446.63/x
  3. Step 3: Cross multiply
    209.81x = 446.63 × 446.63
  4. Step 4: Simplify right side
    209.81x = 199,473.89
  5. Step 5: Solve for x
    x = 199,473.89/209.81
  6. Step 6: Final answer
    x = 950.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.