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Finding the Third Proportional to 366,985 and 778,075

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Solution

The third proportional to 366,985 and 778,075 is: 1,649,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,985 : 778,075 = 778,075 : x
  2. Step 2: Convert to fraction form
    366,985/778,075 = 778,075/x
  3. Step 3: Cross multiply
    366,985x = 778,075 × 778,075
  4. Step 4: Simplify right side
    366,985x = 605,400,705,625
  5. Step 5: Solve for x
    x = 605,400,705,625/366,985
  6. Step 6: Final answer
    x = 1,649,660.63

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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.