Home / 204,474-419,145

Finding the Third Proportional to 204,474 and 419,145

Calculator

Solution

The third proportional to 204,474 and 419,145 is: 859,192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,474 : 419,145 = 419,145 : x
  2. Step 2: Convert to fraction form
    204,474/419,145 = 419,145/x
  3. Step 3: Cross multiply
    204,474x = 419,145 × 419,145
  4. Step 4: Simplify right side
    204,474x = 175,682,531,025
  5. Step 5: Solve for x
    x = 175,682,531,025/204,474
  6. Step 6: Final answer
    x = 859,192.52

Related Problems

Find third proportional to 102,237 and 209,572.50
Half scale
Find third proportional to 408,948 and 838,290
Double scale
Find third proportional to 204,476 and 419,149
Similar ratio
Find third proportional to 306,711 and 628,717.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.