Home / 378-862

Finding the Third Proportional to 378 and 862

Calculator

Solution

The third proportional to 378 and 862 is: 1,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378 : 862 = 862 : x
  2. Step 2: Convert to fraction form
    378/862 = 862/x
  3. Step 3: Cross multiply
    378x = 862 × 862
  4. Step 4: Simplify right side
    378x = 743,044
  5. Step 5: Solve for x
    x = 743,044/378
  6. Step 6: Final answer
    x = 1,965.72

Related Problems

Find third proportional to 189 and 431
Half scale
Find third proportional to 756 and 1,724
Double scale
Find third proportional to 380 and 867
Similar ratio
Find third proportional to 567 and 1,293
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.