Home / 392-431

Finding the Third Proportional to 392 and 431

Calculator

Solution

The third proportional to 392 and 431 is: 473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    392 : 431 = 431 : x
  2. Step 2: Convert to fraction form
    392/431 = 431/x
  3. Step 3: Cross multiply
    392x = 431 × 431
  4. Step 4: Simplify right side
    392x = 185,761
  5. Step 5: Solve for x
    x = 185,761/392
  6. Step 6: Final answer
    x = 473.88

Related Problems

Find third proportional to 196 and 215.50
Half scale
Find third proportional to 784 and 862
Double scale
Find third proportional to 394 and 433
Similar ratio
Find third proportional to 588 and 646.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.