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Finding the Third Proportional to 311,937 and 434,620

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Solution

The third proportional to 311,937 and 434,620 is: 605,553.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,937 : 434,620 = 434,620 : x
  2. Step 2: Convert to fraction form
    311,937/434,620 = 434,620/x
  3. Step 3: Cross multiply
    311,937x = 434,620 × 434,620
  4. Step 4: Simplify right side
    311,937x = 188,894,544,400
  5. Step 5: Solve for x
    x = 188,894,544,400/311,937
  6. Step 6: Final answer
    x = 605,553.51

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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.