Home / 271,883-413,585

Finding the Third Proportional to 271,883 and 413,585

Calculator

Solution

The third proportional to 271,883 and 413,585 is: 629,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,883 : 413,585 = 413,585 : x
  2. Step 2: Convert to fraction form
    271,883/413,585 = 413,585/x
  3. Step 3: Cross multiply
    271,883x = 413,585 × 413,585
  4. Step 4: Simplify right side
    271,883x = 171,052,552,225
  5. Step 5: Solve for x
    x = 171,052,552,225/271,883
  6. Step 6: Final answer
    x = 629,140.30

Related Problems

Find third proportional to 135,941.50 and 206,792.50
Half scale
Find third proportional to 543,766 and 827,170
Double scale
Find third proportional to 271,885 and 413,588
Similar ratio
Find third proportional to 407,824.50 and 620,377.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.