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Finding the Third Proportional to 311,214.50 and 494,040.75

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Solution

The third proportional to 311,214.50 and 494,040.75 is: 784,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,214.50 : 494,040.75 = 494,040.75 : x
  2. Step 2: Convert to fraction form
    311,214.50/494,040.75 = 494,040.75/x
  3. Step 3: Cross multiply
    311,214.50x = 494,040.75 × 494,040.75
  4. Step 4: Simplify right side
    311,214.50x = 244,076,262,660.56
  5. Step 5: Solve for x
    x = 244,076,262,660.56/311,214.50
  6. Step 6: Final answer
    x = 784,270.21

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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.