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Finding the Third Proportional to 127.83 and 201.87

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Solution

The third proportional to 127.83 and 201.87 is: 318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.83 : 201.87 = 201.87 : x
  2. Step 2: Convert to fraction form
    127.83/201.87 = 201.87/x
  3. Step 3: Cross multiply
    127.83x = 201.87 × 201.87
  4. Step 4: Simplify right side
    127.83x = 40,750.36
  5. Step 5: Solve for x
    x = 40,750.36/127.83
  6. Step 6: Final answer
    x = 318.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.