Home / 211,813-311,233.50

Finding the Third Proportional to 211,813 and 311,233.50

Calculator

Solution

The third proportional to 211,813 and 311,233.50 is: 457,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,813 : 311,233.50 = 311,233.50 : x
  2. Step 2: Convert to fraction form
    211,813/311,233.50 = 311,233.50/x
  3. Step 3: Cross multiply
    211,813x = 311,233.50 × 311,233.50
  4. Step 4: Simplify right side
    211,813x = 96,866,291,522.25
  5. Step 5: Solve for x
    x = 96,866,291,522.25/211,813
  6. Step 6: Final answer
    x = 457,319.86

Related Problems

Find third proportional to 105,906.50 and 155,616.75
Half scale
Find third proportional to 423,626 and 622,467
Double scale
Find third proportional to 211,815 and 311,236
Similar ratio
Find third proportional to 317,719.50 and 466,850.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.