Home / 149,823-321,880

Finding the Third Proportional to 149,823 and 321,880

Calculator

Solution

The third proportional to 149,823 and 321,880 is: 691,527.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,823 : 321,880 = 321,880 : x
  2. Step 2: Convert to fraction form
    149,823/321,880 = 321,880/x
  3. Step 3: Cross multiply
    149,823x = 321,880 × 321,880
  4. Step 4: Simplify right side
    149,823x = 103,606,734,400
  5. Step 5: Solve for x
    x = 103,606,734,400/149,823
  6. Step 6: Final answer
    x = 691,527.57

Related Problems

Find third proportional to 74,911.50 and 160,940
Half scale
Find third proportional to 299,646 and 643,760
Double scale
Find third proportional to 149,825 and 321,884
Similar ratio
Find third proportional to 224,734.50 and 482,820
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.