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Finding the Third Proportional to 49,143 and 74,121

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Solution

The third proportional to 49,143 and 74,121 is: 111,794.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,143 : 74,121 = 74,121 : x
  2. Step 2: Convert to fraction form
    49,143/74,121 = 74,121/x
  3. Step 3: Cross multiply
    49,143x = 74,121 × 74,121
  4. Step 4: Simplify right side
    49,143x = 5,493,922,641
  5. Step 5: Solve for x
    x = 5,493,922,641/49,143
  6. Step 6: Final answer
    x = 111,794.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.