Home / 311,660-682,437

Finding the Third Proportional to 311,660 and 682,437

Calculator

Solution

The third proportional to 311,660 and 682,437 is: 1,494,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,660 : 682,437 = 682,437 : x
  2. Step 2: Convert to fraction form
    311,660/682,437 = 682,437/x
  3. Step 3: Cross multiply
    311,660x = 682,437 × 682,437
  4. Step 4: Simplify right side
    311,660x = 465,720,258,969
  5. Step 5: Solve for x
    x = 465,720,258,969/311,660
  6. Step 6: Final answer
    x = 1,494,321.57

Related Problems

Find third proportional to 155,830 and 341,218.50
Half scale
Find third proportional to 623,320 and 1,364,874
Double scale
Find third proportional to 311,662 and 682,441
Similar ratio
Find third proportional to 467,490 and 1,023,655.50
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.