Home / 378-476

Finding the Third Proportional to 378 and 476

Calculator

Solution

The third proportional to 378 and 476 is: 599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378 : 476 = 476 : x
  2. Step 2: Convert to fraction form
    378/476 = 476/x
  3. Step 3: Cross multiply
    378x = 476 × 476
  4. Step 4: Simplify right side
    378x = 226,576
  5. Step 5: Solve for x
    x = 226,576/378
  6. Step 6: Final answer
    x = 599.41

Related Problems

Find third proportional to 189 and 238
Half scale
Find third proportional to 756 and 952
Double scale
Find third proportional to 380 and 479
Similar ratio
Find third proportional to 567 and 714
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.