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Finding the Third Proportional to 55,863 and 121,761

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Solution

The third proportional to 55,863 and 121,761 is: 265,394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,863 : 121,761 = 121,761 : x
  2. Step 2: Convert to fraction form
    55,863/121,761 = 121,761/x
  3. Step 3: Cross multiply
    55,863x = 121,761 × 121,761
  4. Step 4: Simplify right side
    55,863x = 14,825,741,121
  5. Step 5: Solve for x
    x = 14,825,741,121/55,863
  6. Step 6: Final answer
    x = 265,394.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.