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Finding the Third Proportional to 311,942 and 434,629

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Solution

The third proportional to 311,942 and 434,629 is: 605,568.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,942 : 434,629 = 434,629 : x
  2. Step 2: Convert to fraction form
    311,942/434,629 = 434,629/x
  3. Step 3: Cross multiply
    311,942x = 434,629 × 434,629
  4. Step 4: Simplify right side
    311,942x = 188,902,367,641
  5. Step 5: Solve for x
    x = 188,902,367,641/311,942
  6. Step 6: Final answer
    x = 605,568.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.