Home / 339-519

Finding the Third Proportional to 339 and 519

Calculator

Solution

The third proportional to 339 and 519 is: 794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    339 : 519 = 519 : x
  2. Step 2: Convert to fraction form
    339/519 = 519/x
  3. Step 3: Cross multiply
    339x = 519 × 519
  4. Step 4: Simplify right side
    339x = 269,361
  5. Step 5: Solve for x
    x = 269,361/339
  6. Step 6: Final answer
    x = 794.58

Related Problems

Find third proportional to 169.50 and 259.50
Half scale
Find third proportional to 678 and 1,038
Double scale
Find third proportional to 341 and 522
Similar ratio
Find third proportional to 508.50 and 778.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.