Home / 206,405-454,716

Finding the Third Proportional to 206,405 and 454,716

Calculator

Solution

The third proportional to 206,405 and 454,716 is: 1,001,752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,405 : 454,716 = 454,716 : x
  2. Step 2: Convert to fraction form
    206,405/454,716 = 454,716/x
  3. Step 3: Cross multiply
    206,405x = 454,716 × 454,716
  4. Step 4: Simplify right side
    206,405x = 206,766,640,656
  5. Step 5: Solve for x
    x = 206,766,640,656/206,405
  6. Step 6: Final answer
    x = 1,001,752.09

Related Problems

Find third proportional to 103,202.50 and 227,358
Half scale
Find third proportional to 412,810 and 909,432
Double scale
Find third proportional to 206,407 and 454,720
Similar ratio
Find third proportional to 309,607.50 and 682,074
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.