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Finding the Third Proportional to 209.38 and 301.63

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Solution

The third proportional to 209.38 and 301.63 is: 434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.38 : 301.63 = 301.63 : x
  2. Step 2: Convert to fraction form
    209.38/301.63 = 301.63/x
  3. Step 3: Cross multiply
    209.38x = 301.63 × 301.63
  4. Step 4: Simplify right side
    209.38x = 90,977.64
  5. Step 5: Solve for x
    x = 90,977.64/209.38
  6. Step 6: Final answer
    x = 434.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.