Home / 311,416-680,990

Finding the Third Proportional to 311,416 and 680,990

Calculator

Solution

The third proportional to 311,416 and 680,990 is: 1,489,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,416 : 680,990 = 680,990 : x
  2. Step 2: Convert to fraction form
    311,416/680,990 = 680,990/x
  3. Step 3: Cross multiply
    311,416x = 680,990 × 680,990
  4. Step 4: Simplify right side
    311,416x = 463,747,380,100
  5. Step 5: Solve for x
    x = 463,747,380,100/311,416
  6. Step 6: Final answer
    x = 1,489,157.20

Related Problems

Find third proportional to 155,708 and 340,495
Half scale
Find third proportional to 622,832 and 1,361,980
Double scale
Find third proportional to 311,418 and 680,994
Similar ratio
Find third proportional to 467,124 and 1,021,485
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.