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Finding the Third Proportional to 366,991 and 778,087

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Solution

The third proportional to 366,991 and 778,087 is: 1,649,684.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,991 : 778,087 = 778,087 : x
  2. Step 2: Convert to fraction form
    366,991/778,087 = 778,087/x
  3. Step 3: Cross multiply
    366,991x = 778,087 × 778,087
  4. Step 4: Simplify right side
    366,991x = 605,419,379,569
  5. Step 5: Solve for x
    x = 605,419,379,569/366,991
  6. Step 6: Final answer
    x = 1,649,684.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.