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Finding the Third Proportional to 311,786 and 673,396

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Solution

The third proportional to 311,786 and 673,396 is: 1,454,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,786 : 673,396 = 673,396 : x
  2. Step 2: Convert to fraction form
    311,786/673,396 = 673,396/x
  3. Step 3: Cross multiply
    311,786x = 673,396 × 673,396
  4. Step 4: Simplify right side
    311,786x = 453,462,172,816
  5. Step 5: Solve for x
    x = 453,462,172,816/311,786
  6. Step 6: Final answer
    x = 1,454,401.97

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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.