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Finding the Third Proportional to 54,135 and 85,041

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Solution

The third proportional to 54,135 and 85,041 is: 133,591.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,135 : 85,041 = 85,041 : x
  2. Step 2: Convert to fraction form
    54,135/85,041 = 85,041/x
  3. Step 3: Cross multiply
    54,135x = 85,041 × 85,041
  4. Step 4: Simplify right side
    54,135x = 7,231,971,681
  5. Step 5: Solve for x
    x = 7,231,971,681/54,135
  6. Step 6: Final answer
    x = 133,591.42

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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.