Home / 396-456

Finding the Third Proportional to 396 and 456

Calculator

Solution

The third proportional to 396 and 456 is: 525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 456 = 456 : x
  2. Step 2: Convert to fraction form
    396/456 = 456/x
  3. Step 3: Cross multiply
    396x = 456 × 456
  4. Step 4: Simplify right side
    396x = 207,936
  5. Step 5: Solve for x
    x = 207,936/396
  6. Step 6: Final answer
    x = 525.09

Related Problems

Find third proportional to 198 and 228
Half scale
Find third proportional to 792 and 912
Double scale
Find third proportional to 398 and 458
Similar ratio
Find third proportional to 594 and 684
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.