Home / 297,950-419,765

Finding the Third Proportional to 297,950 and 419,765

Calculator

Solution

The third proportional to 297,950 and 419,765 is: 591,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,950 : 419,765 = 419,765 : x
  2. Step 2: Convert to fraction form
    297,950/419,765 = 419,765/x
  3. Step 3: Cross multiply
    297,950x = 419,765 × 419,765
  4. Step 4: Simplify right side
    297,950x = 176,202,655,225
  5. Step 5: Solve for x
    x = 176,202,655,225/297,950
  6. Step 6: Final answer
    x = 591,383.30

Related Problems

Find third proportional to 148,975 and 209,882.50
Half scale
Find third proportional to 595,900 and 839,530
Double scale
Find third proportional to 297,952 and 419,768
Similar ratio
Find third proportional to 446,925 and 629,647.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.