Home / 214-431

Finding the Third Proportional to 214 and 431

Calculator

Solution

The third proportional to 214 and 431 is: 868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214 : 431 = 431 : x
  2. Step 2: Convert to fraction form
    214/431 = 431/x
  3. Step 3: Cross multiply
    214x = 431 × 431
  4. Step 4: Simplify right side
    214x = 185,761
  5. Step 5: Solve for x
    x = 185,761/214
  6. Step 6: Final answer
    x = 868.04

Related Problems

Find third proportional to 107 and 215.50
Half scale
Find third proportional to 428 and 862
Double scale
Find third proportional to 216 and 435
Similar ratio
Find third proportional to 321 and 646.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.