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Finding the Third Proportional to 129.57 and 201.00

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Solution

The third proportional to 129.57 and 201.00 is: 311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.57 : 201.00 = 201.00 : x
  2. Step 2: Convert to fraction form
    129.57/201.00 = 201.00/x
  3. Step 3: Cross multiply
    129.57x = 201.00 × 201.00
  4. Step 4: Simplify right side
    129.57x = 40,399.82
  5. Step 5: Solve for x
    x = 40,399.82/129.57
  6. Step 6: Final answer
    x = 311.80

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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.