Home / 311,208-681,021

Finding the Third Proportional to 311,208 and 681,021

Calculator

Solution

The third proportional to 311,208 and 681,021 is: 1,490,288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,208 : 681,021 = 681,021 : x
  2. Step 2: Convert to fraction form
    311,208/681,021 = 681,021/x
  3. Step 3: Cross multiply
    311,208x = 681,021 × 681,021
  4. Step 4: Simplify right side
    311,208x = 463,789,602,441
  5. Step 5: Solve for x
    x = 463,789,602,441/311,208
  6. Step 6: Final answer
    x = 1,490,288.18

Related Problems

Find third proportional to 155,604 and 340,510.50
Half scale
Find third proportional to 622,416 and 1,362,042
Double scale
Find third proportional to 311,210 and 681,025
Similar ratio
Find third proportional to 466,812 and 1,021,531.50
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.