Home / 300,350-419,907

Finding the Third Proportional to 300,350 and 419,907

Calculator

Solution

The third proportional to 300,350 and 419,907 is: 587,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,350 : 419,907 = 419,907 : x
  2. Step 2: Convert to fraction form
    300,350/419,907 = 419,907/x
  3. Step 3: Cross multiply
    300,350x = 419,907 × 419,907
  4. Step 4: Simplify right side
    300,350x = 176,321,888,649
  5. Step 5: Solve for x
    x = 176,321,888,649/300,350
  6. Step 6: Final answer
    x = 587,054.73

Related Problems

Find third proportional to 150,175 and 209,953.50
Half scale
Find third proportional to 600,700 and 839,814
Double scale
Find third proportional to 300,352 and 419,910
Similar ratio
Find third proportional to 450,525 and 629,860.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.