Home / 351-513

Finding the Third Proportional to 351 and 513

Calculator

Solution

The third proportional to 351 and 513 is: 749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    351 : 513 = 513 : x
  2. Step 2: Convert to fraction form
    351/513 = 513/x
  3. Step 3: Cross multiply
    351x = 513 × 513
  4. Step 4: Simplify right side
    351x = 263,169
  5. Step 5: Solve for x
    x = 263,169/351
  6. Step 6: Final answer
    x = 749.77

Related Problems

Find third proportional to 175.50 and 256.50
Half scale
Find third proportional to 702 and 1,026
Double scale
Find third proportional to 353 and 516
Similar ratio
Find third proportional to 526.50 and 769.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.