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Finding the Third Proportional to 366,981 and 743,821

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Solution

The third proportional to 366,981 and 743,821 is: 1,507,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,981 : 743,821 = 743,821 : x
  2. Step 2: Convert to fraction form
    366,981/743,821 = 743,821/x
  3. Step 3: Cross multiply
    366,981x = 743,821 × 743,821
  4. Step 4: Simplify right side
    366,981x = 553,269,680,041
  5. Step 5: Solve for x
    x = 553,269,680,041/366,981
  6. Step 6: Final answer
    x = 1,507,624.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.