Home / 300-353

Finding the Third Proportional to 300 and 353

Calculator

Solution

The third proportional to 300 and 353 is: 415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300 : 353 = 353 : x
  2. Step 2: Convert to fraction form
    300/353 = 353/x
  3. Step 3: Cross multiply
    300x = 353 × 353
  4. Step 4: Simplify right side
    300x = 124,609
  5. Step 5: Solve for x
    x = 124,609/300
  6. Step 6: Final answer
    x = 415.36

Related Problems

Find third proportional to 150 and 176.50
Half scale
Find third proportional to 600 and 706
Double scale
Find third proportional to 302 and 355
Similar ratio
Find third proportional to 450 and 529.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.