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Finding the Third Proportional to 55,381 and 121,838

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Solution

The third proportional to 55,381 and 121,838 is: 268,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,381 : 121,838 = 121,838 : x
  2. Step 2: Convert to fraction form
    55,381/121,838 = 121,838/x
  3. Step 3: Cross multiply
    55,381x = 121,838 × 121,838
  4. Step 4: Simplify right side
    55,381x = 14,844,498,244
  5. Step 5: Solve for x
    x = 14,844,498,244/55,381
  6. Step 6: Final answer
    x = 268,043.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.