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Finding the Third Proportional to 53,856 and 117,972

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Solution

The third proportional to 53,856 and 117,972 is: 258,418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,856 : 117,972 = 117,972 : x
  2. Step 2: Convert to fraction form
    53,856/117,972 = 117,972/x
  3. Step 3: Cross multiply
    53,856x = 117,972 × 117,972
  4. Step 4: Simplify right side
    53,856x = 13,917,392,784
  5. Step 5: Solve for x
    x = 13,917,392,784/53,856
  6. Step 6: Final answer
    x = 258,418.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.