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Finding the Third Proportional to 311,824 and 673,543

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Solution

The third proportional to 311,824 and 673,543 is: 1,454,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,824 : 673,543 = 673,543 : x
  2. Step 2: Convert to fraction form
    311,824/673,543 = 673,543/x
  3. Step 3: Cross multiply
    311,824x = 673,543 × 673,543
  4. Step 4: Simplify right side
    311,824x = 453,660,172,849
  5. Step 5: Solve for x
    x = 453,660,172,849/311,824
  6. Step 6: Final answer
    x = 1,454,859.71

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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.