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Finding the Third Proportional to 311,817 and 434,440.50

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Solution

The third proportional to 311,817 and 434,440.50 is: 605,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,817 : 434,440.50 = 434,440.50 : x
  2. Step 2: Convert to fraction form
    311,817/434,440.50 = 434,440.50/x
  3. Step 3: Cross multiply
    311,817x = 434,440.50 × 434,440.50
  4. Step 4: Simplify right side
    311,817x = 188,738,548,040.25
  5. Step 5: Solve for x
    x = 188,738,548,040.25/311,817
  6. Step 6: Final answer
    x = 605,286.27

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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.