Home / 274,200-409,038

Finding the Third Proportional to 274,200 and 409,038

Calculator

Solution

The third proportional to 274,200 and 409,038 is: 610,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,200 : 409,038 = 409,038 : x
  2. Step 2: Convert to fraction form
    274,200/409,038 = 409,038/x
  3. Step 3: Cross multiply
    274,200x = 409,038 × 409,038
  4. Step 4: Simplify right side
    274,200x = 167,312,085,444
  5. Step 5: Solve for x
    x = 167,312,085,444/274,200
  6. Step 6: Final answer
    x = 610,182.66

Related Problems

Find third proportional to 137,100 and 204,519
Half scale
Find third proportional to 548,400 and 818,076
Double scale
Find third proportional to 274,202 and 409,041
Similar ratio
Find third proportional to 411,300 and 613,557
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.