Home / 150,084-211,086

Finding the Third Proportional to 150,084 and 211,086

Calculator

Solution

The third proportional to 150,084 and 211,086 is: 296,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,084 : 211,086 = 211,086 : x
  2. Step 2: Convert to fraction form
    150,084/211,086 = 211,086/x
  3. Step 3: Cross multiply
    150,084x = 211,086 × 211,086
  4. Step 4: Simplify right side
    150,084x = 44,557,299,396
  5. Step 5: Solve for x
    x = 44,557,299,396/150,084
  6. Step 6: Final answer
    x = 296,882.41

Related Problems

Find third proportional to 75,042 and 105,543
Half scale
Find third proportional to 300,168 and 422,172
Double scale
Find third proportional to 150,086 and 211,089
Similar ratio
Find third proportional to 225,126 and 316,629
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.