Home / 354-513

Finding the Third Proportional to 354 and 513

Calculator

Solution

The third proportional to 354 and 513 is: 743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    354 : 513 = 513 : x
  2. Step 2: Convert to fraction form
    354/513 = 513/x
  3. Step 3: Cross multiply
    354x = 513 × 513
  4. Step 4: Simplify right side
    354x = 263,169
  5. Step 5: Solve for x
    x = 263,169/354
  6. Step 6: Final answer
    x = 743.42

Related Problems

Find third proportional to 177 and 256.50
Half scale
Find third proportional to 708 and 1,026
Double scale
Find third proportional to 356 and 516
Similar ratio
Find third proportional to 531 and 769.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.