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Finding the Third Proportional to 54,110 and 116,543

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Solution

The third proportional to 54,110 and 116,543 is: 251,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,110 : 116,543 = 116,543 : x
  2. Step 2: Convert to fraction form
    54,110/116,543 = 116,543/x
  3. Step 3: Cross multiply
    54,110x = 116,543 × 116,543
  4. Step 4: Simplify right side
    54,110x = 13,582,270,849
  5. Step 5: Solve for x
    x = 13,582,270,849/54,110
  6. Step 6: Final answer
    x = 251,012.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.