Home / 271,824-419,610

Finding the Third Proportional to 271,824 and 419,610

Calculator

Solution

The third proportional to 271,824 and 419,610 is: 647,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,824 : 419,610 = 419,610 : x
  2. Step 2: Convert to fraction form
    271,824/419,610 = 419,610/x
  3. Step 3: Cross multiply
    271,824x = 419,610 × 419,610
  4. Step 4: Simplify right side
    271,824x = 176,072,552,100
  5. Step 5: Solve for x
    x = 176,072,552,100/271,824
  6. Step 6: Final answer
    x = 647,744.69

Related Problems

Find third proportional to 135,912 and 209,805
Half scale
Find third proportional to 543,648 and 839,220
Double scale
Find third proportional to 271,826 and 419,613
Similar ratio
Find third proportional to 407,736 and 629,415
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.