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Finding the Third Proportional to 54,167 and 120,781

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Solution

The third proportional to 54,167 and 120,781 is: 269,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,167 : 120,781 = 120,781 : x
  2. Step 2: Convert to fraction form
    54,167/120,781 = 120,781/x
  3. Step 3: Cross multiply
    54,167x = 120,781 × 120,781
  4. Step 4: Simplify right side
    54,167x = 14,588,049,961
  5. Step 5: Solve for x
    x = 14,588,049,961/54,167
  6. Step 6: Final answer
    x = 269,316.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.