Home / 311,047-682,357

Finding the Third Proportional to 311,047 and 682,357

Calculator

Solution

The third proportional to 311,047 and 682,357 is: 1,496,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,047 : 682,357 = 682,357 : x
  2. Step 2: Convert to fraction form
    311,047/682,357 = 682,357/x
  3. Step 3: Cross multiply
    311,047x = 682,357 × 682,357
  4. Step 4: Simplify right side
    311,047x = 465,611,075,449
  5. Step 5: Solve for x
    x = 465,611,075,449/311,047
  6. Step 6: Final answer
    x = 1,496,915.50

Related Problems

Find third proportional to 155,523.50 and 341,178.50
Half scale
Find third proportional to 622,094 and 1,364,714
Double scale
Find third proportional to 311,049 and 682,361
Similar ratio
Find third proportional to 466,570.50 and 1,023,535.50
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.