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Finding the Third Proportional to 206 and 301.50

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Solution

The third proportional to 206 and 301.50 is: 441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206 : 301.50 = 301.50 : x
  2. Step 2: Convert to fraction form
    206/301.50 = 301.50/x
  3. Step 3: Cross multiply
    206x = 301.50 × 301.50
  4. Step 4: Simplify right side
    206x = 90,902.25
  5. Step 5: Solve for x
    x = 90,902.25/206
  6. Step 6: Final answer
    x = 441.27

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.