Home / 416-513

Finding the Third Proportional to 416 and 513

Calculator

Solution

The third proportional to 416 and 513 is: 632.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 513 = 513 : x
  2. Step 2: Convert to fraction form
    416/513 = 513/x
  3. Step 3: Cross multiply
    416x = 513 × 513
  4. Step 4: Simplify right side
    416x = 263,169
  5. Step 5: Solve for x
    x = 263,169/416
  6. Step 6: Final answer
    x = 632.62

Related Problems

Find third proportional to 208 and 256.50
Half scale
Find third proportional to 832 and 1,026
Double scale
Find third proportional to 418 and 515
Similar ratio
Find third proportional to 624 and 769.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.