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Finding the Third Proportional to 54,197 and 85,131

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Solution

The third proportional to 54,197 and 85,131 is: 133,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,197 : 85,131 = 85,131 : x
  2. Step 2: Convert to fraction form
    54,197/85,131 = 85,131/x
  3. Step 3: Cross multiply
    54,197x = 85,131 × 85,131
  4. Step 4: Simplify right side
    54,197x = 7,247,287,161
  5. Step 5: Solve for x
    x = 7,247,287,161/54,197
  6. Step 6: Final answer
    x = 133,721.19

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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.