Home / 311,625-682,218

Finding the Third Proportional to 311,625 and 682,218

Calculator

Solution

The third proportional to 311,625 and 682,218 is: 1,493,530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,625 : 682,218 = 682,218 : x
  2. Step 2: Convert to fraction form
    311,625/682,218 = 682,218/x
  3. Step 3: Cross multiply
    311,625x = 682,218 × 682,218
  4. Step 4: Simplify right side
    311,625x = 465,421,399,524
  5. Step 5: Solve for x
    x = 465,421,399,524/311,625
  6. Step 6: Final answer
    x = 1,493,530.36

Related Problems

Find third proportional to 155,812.50 and 341,109
Half scale
Find third proportional to 623,250 and 1,364,436
Double scale
Find third proportional to 311,627 and 682,222
Similar ratio
Find third proportional to 467,437.50 and 1,023,327
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.