Home / 137,198-206,121

Finding the Third Proportional to 137,198 and 206,121

Calculator

Solution

The third proportional to 137,198 and 206,121 is: 309,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,198 : 206,121 = 206,121 : x
  2. Step 2: Convert to fraction form
    137,198/206,121 = 206,121/x
  3. Step 3: Cross multiply
    137,198x = 206,121 × 206,121
  4. Step 4: Simplify right side
    137,198x = 42,485,866,641
  5. Step 5: Solve for x
    x = 42,485,866,641/137,198
  6. Step 6: Final answer
    x = 309,668.27

Related Problems

Find third proportional to 68,599 and 103,060.50
Half scale
Find third proportional to 274,396 and 412,242
Double scale
Find third proportional to 137,200 and 206,124
Similar ratio
Find third proportional to 205,797 and 309,181.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.