Home / 177,825-419,763

Finding the Third Proportional to 177,825 and 419,763

Calculator

Solution

The third proportional to 177,825 and 419,763 is: 990,867.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,825 : 419,763 = 419,763 : x
  2. Step 2: Convert to fraction form
    177,825/419,763 = 419,763/x
  3. Step 3: Cross multiply
    177,825x = 419,763 × 419,763
  4. Step 4: Simplify right side
    177,825x = 176,200,976,169
  5. Step 5: Solve for x
    x = 176,200,976,169/177,825
  6. Step 6: Final answer
    x = 990,867.29

Related Problems

Find third proportional to 88,912.50 and 209,881.50
Half scale
Find third proportional to 355,650 and 839,526
Double scale
Find third proportional to 177,827 and 419,768
Similar ratio
Find third proportional to 266,737.50 and 629,644.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.