Home / 311,105-682,474

Finding the Third Proportional to 311,105 and 682,474

Calculator

Solution

The third proportional to 311,105 and 682,474 is: 1,497,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,105 : 682,474 = 682,474 : x
  2. Step 2: Convert to fraction form
    311,105/682,474 = 682,474/x
  3. Step 3: Cross multiply
    311,105x = 682,474 × 682,474
  4. Step 4: Simplify right side
    311,105x = 465,770,760,676
  5. Step 5: Solve for x
    x = 465,770,760,676/311,105
  6. Step 6: Final answer
    x = 1,497,149.71

Related Problems

Find third proportional to 155,552.50 and 341,237
Half scale
Find third proportional to 622,210 and 1,364,948
Double scale
Find third proportional to 311,107 and 682,478
Similar ratio
Find third proportional to 466,657.50 and 1,023,711
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.