Home / 189-513

Finding the Third Proportional to 189 and 513

Calculator

Solution

The third proportional to 189 and 513 is: 1,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 513 = 513 : x
  2. Step 2: Convert to fraction form
    189/513 = 513/x
  3. Step 3: Cross multiply
    189x = 513 × 513
  4. Step 4: Simplify right side
    189x = 263,169
  5. Step 5: Solve for x
    x = 263,169/189
  6. Step 6: Final answer
    x = 1,392.43

Related Problems

Find third proportional to 94.50 and 256.50
Half scale
Find third proportional to 378 and 1,026
Double scale
Find third proportional to 191 and 518
Similar ratio
Find third proportional to 283.50 and 769.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.