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Finding the Third Proportional to 311,218 and 494,046

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Solution

The third proportional to 311,218 and 494,046 is: 784,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,218 : 494,046 = 494,046 : x
  2. Step 2: Convert to fraction form
    311,218/494,046 = 494,046/x
  3. Step 3: Cross multiply
    311,218x = 494,046 × 494,046
  4. Step 4: Simplify right side
    311,218x = 244,081,450,116
  5. Step 5: Solve for x
    x = 244,081,450,116/311,218
  6. Step 6: Final answer
    x = 784,278.06

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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.