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Finding the Third Proportional to 142.31 and 201.38

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Solution

The third proportional to 142.31 and 201.38 is: 284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.31 : 201.38 = 201.38 : x
  2. Step 2: Convert to fraction form
    142.31/201.38 = 201.38/x
  3. Step 3: Cross multiply
    142.31x = 201.38 × 201.38
  4. Step 4: Simplify right side
    142.31x = 40,551.89
  5. Step 5: Solve for x
    x = 40,551.89/142.31
  6. Step 6: Final answer
    x = 284.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.