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Finding the Third Proportional to 137.94 and 202.69

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Solution

The third proportional to 137.94 and 202.69 is: 297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.94 : 202.69 = 202.69 : x
  2. Step 2: Convert to fraction form
    137.94/202.69 = 202.69/x
  3. Step 3: Cross multiply
    137.94x = 202.69 × 202.69
  4. Step 4: Simplify right side
    137.94x = 41,082.22
  5. Step 5: Solve for x
    x = 41,082.22/137.94
  6. Step 6: Final answer
    x = 297.83

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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.