Home / 206,733-311,303

Finding the Third Proportional to 206,733 and 311,303

Calculator

Solution

The third proportional to 206,733 and 311,303 is: 468,766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,733 : 311,303 = 311,303 : x
  2. Step 2: Convert to fraction form
    206,733/311,303 = 311,303/x
  3. Step 3: Cross multiply
    206,733x = 311,303 × 311,303
  4. Step 4: Simplify right side
    206,733x = 96,909,557,809
  5. Step 5: Solve for x
    x = 96,909,557,809/206,733
  6. Step 6: Final answer
    x = 468,766.76

Related Problems

Find third proportional to 103,366.50 and 155,651.50
Half scale
Find third proportional to 413,466 and 622,606
Double scale
Find third proportional to 206,735 and 311,306
Similar ratio
Find third proportional to 310,099.50 and 466,954.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.