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Finding the Third Proportional to 209.67 and 435.80

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Solution

The third proportional to 209.67 and 435.80 is: 905.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.67 : 435.80 = 435.80 : x
  2. Step 2: Convert to fraction form
    209.67/435.80 = 435.80/x
  3. Step 3: Cross multiply
    209.67x = 435.80 × 435.80
  4. Step 4: Simplify right side
    209.67x = 189,918.92
  5. Step 5: Solve for x
    x = 189,918.92/209.67
  6. Step 6: Final answer
    x = 905.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.