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Finding the Third Proportional to 137.81 and 195.19

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Solution

The third proportional to 137.81 and 195.19 is: 276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.81 : 195.19 = 195.19 : x
  2. Step 2: Convert to fraction form
    137.81/195.19 = 195.19/x
  3. Step 3: Cross multiply
    137.81x = 195.19 × 195.19
  4. Step 4: Simplify right side
    137.81x = 38,098.16
  5. Step 5: Solve for x
    x = 38,098.16/137.81
  6. Step 6: Final answer
    x = 276.45

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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.