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Finding the Third Proportional to 311,849 and 673,553

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Solution

The third proportional to 311,849 and 673,553 is: 1,454,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,849 : 673,553 = 673,553 : x
  2. Step 2: Convert to fraction form
    311,849/673,553 = 673,553/x
  3. Step 3: Cross multiply
    311,849x = 673,553 × 673,553
  4. Step 4: Simplify right side
    311,849x = 453,673,643,809
  5. Step 5: Solve for x
    x = 453,673,643,809/311,849
  6. Step 6: Final answer
    x = 1,454,786.27

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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.