Home / 364-513

Finding the Third Proportional to 364 and 513

Calculator

Solution

The third proportional to 364 and 513 is: 722.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    364 : 513 = 513 : x
  2. Step 2: Convert to fraction form
    364/513 = 513/x
  3. Step 3: Cross multiply
    364x = 513 × 513
  4. Step 4: Simplify right side
    364x = 263,169
  5. Step 5: Solve for x
    x = 263,169/364
  6. Step 6: Final answer
    x = 722.99

Related Problems

Find third proportional to 182 and 256.50
Half scale
Find third proportional to 728 and 1,026
Double scale
Find third proportional to 366 and 516
Similar ratio
Find third proportional to 546 and 769.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.