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Finding the Third Proportional to 311,812 and 673,519

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Solution

The third proportional to 311,812 and 673,519 is: 1,454,812.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,812 : 673,519 = 673,519 : x
  2. Step 2: Convert to fraction form
    311,812/673,519 = 673,519/x
  3. Step 3: Cross multiply
    311,812x = 673,519 × 673,519
  4. Step 4: Simplify right side
    311,812x = 453,627,843,361
  5. Step 5: Solve for x
    x = 453,627,843,361/311,812
  6. Step 6: Final answer
    x = 1,454,812.01

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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.