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Finding the Third Proportional to 311,878 and 683,419

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Solution

The third proportional to 311,878 and 683,419 is: 1,497,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,878 : 683,419 = 683,419 : x
  2. Step 2: Convert to fraction form
    311,878/683,419 = 683,419/x
  3. Step 3: Cross multiply
    311,878x = 683,419 × 683,419
  4. Step 4: Simplify right side
    311,878x = 467,061,529,561
  5. Step 5: Solve for x
    x = 467,061,529,561/311,878
  6. Step 6: Final answer
    x = 1,497,577.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.