Home / 274,022-409,919

Finding the Third Proportional to 274,022 and 409,919

Calculator

Solution

The third proportional to 274,022 and 409,919 is: 613,212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,022 : 409,919 = 409,919 : x
  2. Step 2: Convert to fraction form
    274,022/409,919 = 409,919/x
  3. Step 3: Cross multiply
    274,022x = 409,919 × 409,919
  4. Step 4: Simplify right side
    274,022x = 168,033,586,561
  5. Step 5: Solve for x
    x = 168,033,586,561/274,022
  6. Step 6: Final answer
    x = 613,212.03

Related Problems

Find third proportional to 137,011 and 204,959.50
Half scale
Find third proportional to 548,044 and 819,838
Double scale
Find third proportional to 274,024 and 409,922
Similar ratio
Find third proportional to 411,033 and 614,878.50
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.