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Finding the Third Proportional to 137.25 and 201.19

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Solution

The third proportional to 137.25 and 201.19 is: 294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.25 : 201.19 = 201.19 : x
  2. Step 2: Convert to fraction form
    137.25/201.19 = 201.19/x
  3. Step 3: Cross multiply
    137.25x = 201.19 × 201.19
  4. Step 4: Simplify right side
    137.25x = 40,476.41
  5. Step 5: Solve for x
    x = 40,476.41/137.25
  6. Step 6: Final answer
    x = 294.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.