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Finding the Third Proportional to 311,832 and 673,488

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Solution

The third proportional to 311,832 and 673,488 is: 1,454,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,832 : 673,488 = 673,488 : x
  2. Step 2: Convert to fraction form
    311,832/673,488 = 673,488/x
  3. Step 3: Cross multiply
    311,832x = 673,488 × 673,488
  4. Step 4: Simplify right side
    311,832x = 453,586,086,144
  5. Step 5: Solve for x
    x = 453,586,086,144/311,832
  6. Step 6: Final answer
    x = 1,454,584.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.