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Finding the Third Proportional to 202.36 and 381.09

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Solution

The third proportional to 202.36 and 381.09 is: 717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.36 : 381.09 = 381.09 : x
  2. Step 2: Convert to fraction form
    202.36/381.09 = 381.09/x
  3. Step 3: Cross multiply
    202.36x = 381.09 × 381.09
  4. Step 4: Simplify right side
    202.36x = 145,232.45
  5. Step 5: Solve for x
    x = 145,232.45/202.36
  6. Step 6: Final answer
    x = 717.70

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.