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Finding the Third Proportional to 311,217 and 494,044

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Solution

The third proportional to 311,217 and 494,044 is: 784,274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,217 : 494,044 = 494,044 : x
  2. Step 2: Convert to fraction form
    311,217/494,044 = 494,044/x
  3. Step 3: Cross multiply
    311,217x = 494,044 × 494,044
  4. Step 4: Simplify right side
    311,217x = 244,079,473,936
  5. Step 5: Solve for x
    x = 244,079,473,936/311,217
  6. Step 6: Final answer
    x = 784,274.23

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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.