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Finding the Third Proportional to 199.55 and 303.54

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Solution

The third proportional to 199.55 and 303.54 is: 461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.55 : 303.54 = 303.54 : x
  2. Step 2: Convert to fraction form
    199.55/303.54 = 303.54/x
  3. Step 3: Cross multiply
    199.55x = 303.54 × 303.54
  4. Step 4: Simplify right side
    199.55x = 92,135.96
  5. Step 5: Solve for x
    x = 92,135.96/199.55
  6. Step 6: Final answer
    x = 461.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.