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Finding the Third Proportional to 133.52 and 201.87

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Solution

The third proportional to 133.52 and 201.87 is: 305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.52 : 201.87 = 201.87 : x
  2. Step 2: Convert to fraction form
    133.52/201.87 = 201.87/x
  3. Step 3: Cross multiply
    133.52x = 201.87 × 201.87
  4. Step 4: Simplify right side
    133.52x = 40,750.36
  5. Step 5: Solve for x
    x = 40,750.36/133.52
  6. Step 6: Final answer
    x = 305.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.