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Finding the Third Proportional to 57.19 and 137.81

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Solution

The third proportional to 57.19 and 137.81 is: 332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.19 : 137.81 = 137.81 : x
  2. Step 2: Convert to fraction form
    57.19/137.81 = 137.81/x
  3. Step 3: Cross multiply
    57.19x = 137.81 × 137.81
  4. Step 4: Simplify right side
    57.19x = 18,992.29
  5. Step 5: Solve for x
    x = 18,992.29/57.19
  6. Step 6: Final answer
    x = 332.11

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.