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Finding the Third Proportional to 311,214 and 494,040

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Solution

The third proportional to 311,214 and 494,040 is: 784,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,214 : 494,040 = 494,040 : x
  2. Step 2: Convert to fraction form
    311,214/494,040 = 494,040/x
  3. Step 3: Cross multiply
    311,214x = 494,040 × 494,040
  4. Step 4: Simplify right side
    311,214x = 244,075,521,600
  5. Step 5: Solve for x
    x = 244,075,521,600/311,214
  6. Step 6: Final answer
    x = 784,269.09

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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.