Home / 198-513

Finding the Third Proportional to 198 and 513

Calculator

Solution

The third proportional to 198 and 513 is: 1,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 513 = 513 : x
  2. Step 2: Convert to fraction form
    198/513 = 513/x
  3. Step 3: Cross multiply
    198x = 513 × 513
  4. Step 4: Simplify right side
    198x = 263,169
  5. Step 5: Solve for x
    x = 263,169/198
  6. Step 6: Final answer
    x = 1,329.14

Related Problems

Find third proportional to 99 and 256.50
Half scale
Find third proportional to 396 and 1,026
Double scale
Find third proportional to 200 and 518
Similar ratio
Find third proportional to 297 and 769.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.