Home / 150,493-313,442

Finding the Third Proportional to 150,493 and 313,442

Calculator

Solution

The third proportional to 150,493 and 313,442 is: 652,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,493 : 313,442 = 313,442 : x
  2. Step 2: Convert to fraction form
    150,493/313,442 = 313,442/x
  3. Step 3: Cross multiply
    150,493x = 313,442 × 313,442
  4. Step 4: Simplify right side
    150,493x = 98,245,887,364
  5. Step 5: Solve for x
    x = 98,245,887,364/150,493
  6. Step 6: Final answer
    x = 652,826.96

Related Problems

Find third proportional to 75,246.50 and 156,721
Half scale
Find third proportional to 300,986 and 626,884
Double scale
Find third proportional to 150,495 and 313,446
Similar ratio
Find third proportional to 225,739.50 and 470,163
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.