Home / 150,124-321,224

Finding the Third Proportional to 150,124 and 321,224

Calculator

Solution

The third proportional to 150,124 and 321,224 is: 687,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,124 : 321,224 = 321,224 : x
  2. Step 2: Convert to fraction form
    150,124/321,224 = 321,224/x
  3. Step 3: Cross multiply
    150,124x = 321,224 × 321,224
  4. Step 4: Simplify right side
    150,124x = 103,184,858,176
  5. Step 5: Solve for x
    x = 103,184,858,176/150,124
  6. Step 6: Final answer
    x = 687,330.86

Related Problems

Find third proportional to 75,062 and 160,612
Half scale
Find third proportional to 300,248 and 642,448
Double scale
Find third proportional to 150,126 and 321,228
Similar ratio
Find third proportional to 225,186 and 481,836
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.