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Finding the Third Proportional to 301.50 and 355.31

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Solution

The third proportional to 301.50 and 355.31 is: 418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.50 : 355.31 = 355.31 : x
  2. Step 2: Convert to fraction form
    301.50/355.31 = 355.31/x
  3. Step 3: Cross multiply
    301.50x = 355.31 × 355.31
  4. Step 4: Simplify right side
    301.50x = 126,246.97
  5. Step 5: Solve for x
    x = 126,246.97/301.50
  6. Step 6: Final answer
    x = 418.73

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.