Home / 229-431

Finding the Third Proportional to 229 and 431

Calculator

Solution

The third proportional to 229 and 431 is: 811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229 : 431 = 431 : x
  2. Step 2: Convert to fraction form
    229/431 = 431/x
  3. Step 3: Cross multiply
    229x = 431 × 431
  4. Step 4: Simplify right side
    229x = 185,761
  5. Step 5: Solve for x
    x = 185,761/229
  6. Step 6: Final answer
    x = 811.18

Related Problems

Find third proportional to 114.50 and 215.50
Half scale
Find third proportional to 458 and 862
Double scale
Find third proportional to 231 and 435
Similar ratio
Find third proportional to 343.50 and 646.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.