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Finding the Third Proportional to 121,634.79 and 193,694.73

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Solution

The third proportional to 121,634.79 and 193,694.73 is: 308,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,634.79 : 193,694.73 = 193,694.73 : x
  2. Step 2: Convert to fraction form
    121,634.79/193,694.73 = 193,694.73/x
  3. Step 3: Cross multiply
    121,634.79x = 193,694.73 × 193,694.73
  4. Step 4: Simplify right side
    121,634.79x = 37,517,648,611.36
  5. Step 5: Solve for x
    x = 37,517,648,611.36/121,634.79
  6. Step 6: Final answer
    x = 308,445.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.