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Finding the Third Proportional to 204.94 and 313.83

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Solution

The third proportional to 204.94 and 313.83 is: 480.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.94 : 313.83 = 313.83 : x
  2. Step 2: Convert to fraction form
    204.94/313.83 = 313.83/x
  3. Step 3: Cross multiply
    204.94x = 313.83 × 313.83
  4. Step 4: Simplify right side
    204.94x = 98,488.09
  5. Step 5: Solve for x
    x = 98,488.09/204.94
  6. Step 6: Final answer
    x = 480.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.