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Finding the Third Proportional to 94.62 and 203.73

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Solution

The third proportional to 94.62 and 203.73 is: 438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.62 : 203.73 = 203.73 : x
  2. Step 2: Convert to fraction form
    94.62/203.73 = 203.73/x
  3. Step 3: Cross multiply
    94.62x = 203.73 × 203.73
  4. Step 4: Simplify right side
    94.62x = 41,506.10
  5. Step 5: Solve for x
    x = 41,506.10/94.62
  6. Step 6: Final answer
    x = 438.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.