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Finding the Third Proportional to 54,120 and 116,856

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Solution

The third proportional to 54,120 and 116,856 is: 252,315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,120 : 116,856 = 116,856 : x
  2. Step 2: Convert to fraction form
    54,120/116,856 = 116,856/x
  3. Step 3: Cross multiply
    54,120x = 116,856 × 116,856
  4. Step 4: Simplify right side
    54,120x = 13,655,324,736
  5. Step 5: Solve for x
    x = 13,655,324,736/54,120
  6. Step 6: Final answer
    x = 252,315.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.