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Finding the Third Proportional to 311,996 and 673,804

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Solution

The third proportional to 311,996 and 673,804 is: 1,455,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,996 : 673,804 = 673,804 : x
  2. Step 2: Convert to fraction form
    311,996/673,804 = 673,804/x
  3. Step 3: Cross multiply
    311,996x = 673,804 × 673,804
  4. Step 4: Simplify right side
    311,996x = 454,011,830,416
  5. Step 5: Solve for x
    x = 454,011,830,416/311,996
  6. Step 6: Final answer
    x = 1,455,184.78

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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.