Home / 318,434-511,323

Finding the Third Proportional to 318,434 and 511,323

Calculator

Solution

The third proportional to 318,434 and 511,323 is: 821,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,434 : 511,323 = 511,323 : x
  2. Step 2: Convert to fraction form
    318,434/511,323 = 511,323/x
  3. Step 3: Cross multiply
    318,434x = 511,323 × 511,323
  4. Step 4: Simplify right side
    318,434x = 261,451,210,329
  5. Step 5: Solve for x
    x = 261,451,210,329/318,434
  6. Step 6: Final answer
    x = 821,053.06

Related Problems

Find third proportional to 159,217 and 255,661.50
Half scale
Find third proportional to 636,868 and 1,022,646
Double scale
Find third proportional to 318,436 and 511,326
Similar ratio
Find third proportional to 477,651 and 766,984.50
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.