Home / 300-386

Finding the Third Proportional to 300 and 386

Calculator

Solution

The third proportional to 300 and 386 is: 496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300 : 386 = 386 : x
  2. Step 2: Convert to fraction form
    300/386 = 386/x
  3. Step 3: Cross multiply
    300x = 386 × 386
  4. Step 4: Simplify right side
    300x = 148,996
  5. Step 5: Solve for x
    x = 148,996/300
  6. Step 6: Final answer
    x = 496.65

Related Problems

Find third proportional to 150 and 193
Half scale
Find third proportional to 600 and 772
Double scale
Find third proportional to 302 and 389
Similar ratio
Find third proportional to 450 and 579
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.