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Finding the Third Proportional to 311,994 and 673,806

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Solution

The third proportional to 311,994 and 673,806 is: 1,455,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,994 : 673,806 = 673,806 : x
  2. Step 2: Convert to fraction form
    311,994/673,806 = 673,806/x
  3. Step 3: Cross multiply
    311,994x = 673,806 × 673,806
  4. Step 4: Simplify right side
    311,994x = 454,014,525,636
  5. Step 5: Solve for x
    x = 454,014,525,636/311,994
  6. Step 6: Final answer
    x = 1,455,202.75

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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.