Home / 400-433

Finding the Third Proportional to 400 and 433

Calculator

Solution

The third proportional to 400 and 433 is: 468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400 : 433 = 433 : x
  2. Step 2: Convert to fraction form
    400/433 = 433/x
  3. Step 3: Cross multiply
    400x = 433 × 433
  4. Step 4: Simplify right side
    400x = 187,489
  5. Step 5: Solve for x
    x = 187,489/400
  6. Step 6: Final answer
    x = 468.72

Related Problems

Find third proportional to 200 and 216.50
Half scale
Find third proportional to 800 and 866
Double scale
Find third proportional to 402 and 435
Similar ratio
Find third proportional to 600 and 649.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.