Home / 311,313-466,974

Finding the Third Proportional to 311,313 and 466,974

Calculator

Solution

The third proportional to 311,313 and 466,974 is: 700,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,313 : 466,974 = 466,974 : x
  2. Step 2: Convert to fraction form
    311,313/466,974 = 466,974/x
  3. Step 3: Cross multiply
    311,313x = 466,974 × 466,974
  4. Step 4: Simplify right side
    311,313x = 218,064,716,676
  5. Step 5: Solve for x
    x = 218,064,716,676/311,313
  6. Step 6: Final answer
    x = 700,467.75

Related Problems

Find third proportional to 155,656.50 and 233,487
Half scale
Find third proportional to 622,626 and 933,948
Double scale
Find third proportional to 311,315 and 466,977
Similar ratio
Find third proportional to 466,969.50 and 700,461
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.