Home / 333,809-512,378

Finding the Third Proportional to 333,809 and 512,378

Calculator

Solution

The third proportional to 333,809 and 512,378 is: 786,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,809 : 512,378 = 512,378 : x
  2. Step 2: Convert to fraction form
    333,809/512,378 = 512,378/x
  3. Step 3: Cross multiply
    333,809x = 512,378 × 512,378
  4. Step 4: Simplify right side
    333,809x = 262,531,214,884
  5. Step 5: Solve for x
    x = 262,531,214,884/333,809
  6. Step 6: Final answer
    x = 786,471.35

Related Problems

Find third proportional to 166,904.50 and 256,189
Half scale
Find third proportional to 667,618 and 1,024,756
Double scale
Find third proportional to 333,811 and 512,381
Similar ratio
Find third proportional to 500,713.50 and 768,567
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.