Home / 311,418-677,511

Finding the Third Proportional to 311,418 and 677,511

Calculator

Solution

The third proportional to 311,418 and 677,511 is: 1,473,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,418 : 677,511 = 677,511 : x
  2. Step 2: Convert to fraction form
    311,418/677,511 = 677,511/x
  3. Step 3: Cross multiply
    311,418x = 677,511 × 677,511
  4. Step 4: Simplify right side
    311,418x = 459,021,155,121
  5. Step 5: Solve for x
    x = 459,021,155,121/311,418
  6. Step 6: Final answer
    x = 1,473,971.17

Related Problems

Find third proportional to 155,709 and 338,755.50
Half scale
Find third proportional to 622,836 and 1,355,022
Double scale
Find third proportional to 311,420 and 677,515
Similar ratio
Find third proportional to 467,127 and 1,016,266.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.