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Finding the Third Proportional to 311,100 and 494,667

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Solution

The third proportional to 311,100 and 494,667 is: 786,549.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,100 : 494,667 = 494,667 : x
  2. Step 2: Convert to fraction form
    311,100/494,667 = 494,667/x
  3. Step 3: Cross multiply
    311,100x = 494,667 × 494,667
  4. Step 4: Simplify right side
    311,100x = 244,695,440,889
  5. Step 5: Solve for x
    x = 244,695,440,889/311,100
  6. Step 6: Final answer
    x = 786,549.15

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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.