Home / 311,355-659,731

Finding the Third Proportional to 311,355 and 659,731

Calculator

Solution

The third proportional to 311,355 and 659,731 is: 1,397,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,355 : 659,731 = 659,731 : x
  2. Step 2: Convert to fraction form
    311,355/659,731 = 659,731/x
  3. Step 3: Cross multiply
    311,355x = 659,731 × 659,731
  4. Step 4: Simplify right side
    311,355x = 435,244,992,361
  5. Step 5: Solve for x
    x = 435,244,992,361/311,355
  6. Step 6: Final answer
    x = 1,397,905.90

Related Problems

Find third proportional to 155,677.50 and 329,865.50
Half scale
Find third proportional to 622,710 and 1,319,462
Double scale
Find third proportional to 311,357 and 659,735
Similar ratio
Find third proportional to 467,032.50 and 989,596.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.