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Finding the Third Proportional to 54,190 and 85,119

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Solution

The third proportional to 54,190 and 85,119 is: 133,700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,190 : 85,119 = 85,119 : x
  2. Step 2: Convert to fraction form
    54,190/85,119 = 85,119/x
  3. Step 3: Cross multiply
    54,190x = 85,119 × 85,119
  4. Step 4: Simplify right side
    54,190x = 7,245,244,161
  5. Step 5: Solve for x
    x = 7,245,244,161/54,190
  6. Step 6: Final answer
    x = 133,700.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.