Home / 512,352-823,192

Finding the Third Proportional to 512,352 and 823,192

Calculator

Solution

The third proportional to 512,352 and 823,192 is: 1,322,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,352 : 823,192 = 823,192 : x
  2. Step 2: Convert to fraction form
    512,352/823,192 = 823,192/x
  3. Step 3: Cross multiply
    512,352x = 823,192 × 823,192
  4. Step 4: Simplify right side
    512,352x = 677,645,068,864
  5. Step 5: Solve for x
    x = 677,645,068,864/512,352
  6. Step 6: Final answer
    x = 1,322,616.23

Related Problems

Find third proportional to 256,176 and 411,596
Half scale
Find third proportional to 1,024,704 and 1,646,384
Double scale
Find third proportional to 512,354 and 823,195
Similar ratio
Find third proportional to 768,528 and 1,234,788
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.