Home / 512,344-823,180

Finding the Third Proportional to 512,344 and 823,180

Calculator

Solution

The third proportional to 512,344 and 823,180 is: 1,322,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,344 : 823,180 = 823,180 : x
  2. Step 2: Convert to fraction form
    512,344/823,180 = 823,180/x
  3. Step 3: Cross multiply
    512,344x = 823,180 × 823,180
  4. Step 4: Simplify right side
    512,344x = 677,625,312,400
  5. Step 5: Solve for x
    x = 677,625,312,400/512,344
  6. Step 6: Final answer
    x = 1,322,598.32

Related Problems

Find third proportional to 256,172 and 411,590
Half scale
Find third proportional to 1,024,688 and 1,646,360
Double scale
Find third proportional to 512,346 and 823,183
Similar ratio
Find third proportional to 768,516 and 1,234,770
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.