Home / 512,356-823,198

Finding the Third Proportional to 512,356 and 823,198

Calculator

Solution

The third proportional to 512,356 and 823,198 is: 1,322,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,356 : 823,198 = 823,198 : x
  2. Step 2: Convert to fraction form
    512,356/823,198 = 823,198/x
  3. Step 3: Cross multiply
    512,356x = 823,198 × 823,198
  4. Step 4: Simplify right side
    512,356x = 677,654,947,204
  5. Step 5: Solve for x
    x = 677,654,947,204/512,356
  6. Step 6: Final answer
    x = 1,322,625.18

Related Problems

Find third proportional to 256,178 and 411,599
Half scale
Find third proportional to 1,024,712 and 1,646,396
Double scale
Find third proportional to 512,358 and 823,201
Similar ratio
Find third proportional to 768,534 and 1,234,797
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.