Home / 174,962-419,909

Finding the Third Proportional to 174,962 and 419,909

Calculator

Solution

The third proportional to 174,962 and 419,909 is: 1,007,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,962 : 419,909 = 419,909 : x
  2. Step 2: Convert to fraction form
    174,962/419,909 = 419,909/x
  3. Step 3: Cross multiply
    174,962x = 419,909 × 419,909
  4. Step 4: Simplify right side
    174,962x = 176,323,568,281
  5. Step 5: Solve for x
    x = 176,323,568,281/174,962
  6. Step 6: Final answer
    x = 1,007,782.08

Related Problems

Find third proportional to 87,481 and 209,954.50
Half scale
Find third proportional to 349,924 and 839,818
Double scale
Find third proportional to 174,964 and 419,914
Similar ratio
Find third proportional to 262,443 and 629,863.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.