Home / 271-431

Finding the Third Proportional to 271 and 431

Calculator

Solution

The third proportional to 271 and 431 is: 685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    271 : 431 = 431 : x
  2. Step 2: Convert to fraction form
    271/431 = 431/x
  3. Step 3: Cross multiply
    271x = 431 × 431
  4. Step 4: Simplify right side
    271x = 185,761
  5. Step 5: Solve for x
    x = 185,761/271
  6. Step 6: Final answer
    x = 685.46

Related Problems

Find third proportional to 135.50 and 215.50
Half scale
Find third proportional to 542 and 862
Double scale
Find third proportional to 273 and 434
Similar ratio
Find third proportional to 406.50 and 646.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.