Home / 382.75-513

Finding the Third Proportional to 382.75 and 513

Calculator

Solution

The third proportional to 382.75 and 513 is: 687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.75 : 513 = 513 : x
  2. Step 2: Convert to fraction form
    382.75/513 = 513/x
  3. Step 3: Cross multiply
    382.75x = 513 × 513
  4. Step 4: Simplify right side
    382.75x = 263,169
  5. Step 5: Solve for x
    x = 263,169/382.75
  6. Step 6: Final answer
    x = 687.57

Related Problems

Find third proportional to 191.38 and 256.50
Half scale
Find third proportional to 765.50 and 1,026
Double scale
Find third proportional to 385 and 516
Similar ratio
Find third proportional to 574.13 and 769.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.