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Finding the Third Proportional to 92 and 137.38

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Solution

The third proportional to 92 and 137.38 is: 205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92 : 137.38 = 137.38 : x
  2. Step 2: Convert to fraction form
    92/137.38 = 137.38/x
  3. Step 3: Cross multiply
    92x = 137.38 × 137.38
  4. Step 4: Simplify right side
    92x = 18,871.89
  5. Step 5: Solve for x
    x = 18,871.89/92
  6. Step 6: Final answer
    x = 205.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.