Home / 206,362-311,199

Finding the Third Proportional to 206,362 and 311,199

Calculator

Solution

The third proportional to 206,362 and 311,199 is: 469,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,362 : 311,199 = 311,199 : x
  2. Step 2: Convert to fraction form
    206,362/311,199 = 311,199/x
  3. Step 3: Cross multiply
    206,362x = 311,199 × 311,199
  4. Step 4: Simplify right side
    206,362x = 96,844,817,601
  5. Step 5: Solve for x
    x = 96,844,817,601/206,362
  6. Step 6: Final answer
    x = 469,295.79

Related Problems

Find third proportional to 103,181 and 155,599.50
Half scale
Find third proportional to 412,724 and 622,398
Double scale
Find third proportional to 206,364 and 311,202
Similar ratio
Find third proportional to 309,543 and 466,798.50
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.