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Finding the Third Proportional to 201.97 and 312.44

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Solution

The third proportional to 201.97 and 312.44 is: 483.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.97 : 312.44 = 312.44 : x
  2. Step 2: Convert to fraction form
    201.97/312.44 = 312.44/x
  3. Step 3: Cross multiply
    201.97x = 312.44 × 312.44
  4. Step 4: Simplify right side
    201.97x = 97,617.19
  5. Step 5: Solve for x
    x = 97,617.19/201.97
  6. Step 6: Final answer
    x = 483.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.