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Finding the Third Proportional to 311,883 and 673,485

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Solution

The third proportional to 311,883 and 673,485 is: 1,454,333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,883 : 673,485 = 673,485 : x
  2. Step 2: Convert to fraction form
    311,883/673,485 = 673,485/x
  3. Step 3: Cross multiply
    311,883x = 673,485 × 673,485
  4. Step 4: Simplify right side
    311,883x = 453,582,045,225
  5. Step 5: Solve for x
    x = 453,582,045,225/311,883
  6. Step 6: Final answer
    x = 1,454,333.98

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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.