Home / 150,323-313,085

Finding the Third Proportional to 150,323 and 313,085

Calculator

Solution

The third proportional to 150,323 and 313,085 is: 652,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,323 : 313,085 = 313,085 : x
  2. Step 2: Convert to fraction form
    150,323/313,085 = 313,085/x
  3. Step 3: Cross multiply
    150,323x = 313,085 × 313,085
  4. Step 4: Simplify right side
    150,323x = 98,022,217,225
  5. Step 5: Solve for x
    x = 98,022,217,225/150,323
  6. Step 6: Final answer
    x = 652,077.31

Related Problems

Find third proportional to 75,161.50 and 156,542.50
Half scale
Find third proportional to 300,646 and 626,170
Double scale
Find third proportional to 150,325 and 313,089
Similar ratio
Find third proportional to 225,484.50 and 469,627.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.