Home / 311,214-682,692

Finding the Third Proportional to 311,214 and 682,692

Calculator

Solution

The third proportional to 311,214 and 682,692 is: 1,497,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,214 : 682,692 = 682,692 : x
  2. Step 2: Convert to fraction form
    311,214/682,692 = 682,692/x
  3. Step 3: Cross multiply
    311,214x = 682,692 × 682,692
  4. Step 4: Simplify right side
    311,214x = 466,068,366,864
  5. Step 5: Solve for x
    x = 466,068,366,864/311,214
  6. Step 6: Final answer
    x = 1,497,581.62

Related Problems

Find third proportional to 155,607 and 341,346
Half scale
Find third proportional to 622,428 and 1,365,384
Double scale
Find third proportional to 311,216 and 682,696
Similar ratio
Find third proportional to 466,821 and 1,024,038
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.