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Finding the Third Proportional to 121,211 and 245,883

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Solution

The third proportional to 121,211 and 245,883 is: 498,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,211 : 245,883 = 245,883 : x
  2. Step 2: Convert to fraction form
    121,211/245,883 = 245,883/x
  3. Step 3: Cross multiply
    121,211x = 245,883 × 245,883
  4. Step 4: Simplify right side
    121,211x = 60,458,449,689
  5. Step 5: Solve for x
    x = 60,458,449,689/121,211
  6. Step 6: Final answer
    x = 498,786.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.