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Finding the Third Proportional to 91.38 and 137.94

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Solution

The third proportional to 91.38 and 137.94 is: 208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.38 : 137.94 = 137.94 : x
  2. Step 2: Convert to fraction form
    91.38/137.94 = 137.94/x
  3. Step 3: Cross multiply
    91.38x = 137.94 × 137.94
  4. Step 4: Simplify right side
    91.38x = 19,026.75
  5. Step 5: Solve for x
    x = 19,026.75/91.38
  6. Step 6: Final answer
    x = 208.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.