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Finding the Third Proportional to 311,220 and 494,045

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Solution

The third proportional to 311,220 and 494,045 is: 784,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,220 : 494,045 = 494,045 : x
  2. Step 2: Convert to fraction form
    311,220/494,045 = 494,045/x
  3. Step 3: Cross multiply
    311,220x = 494,045 × 494,045
  4. Step 4: Simplify right side
    311,220x = 244,080,462,025
  5. Step 5: Solve for x
    x = 244,080,462,025/311,220
  6. Step 6: Final answer
    x = 784,269.85

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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.