Home / 344-519

Finding the Third Proportional to 344 and 519

Calculator

Solution

The third proportional to 344 and 519 is: 783.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    344 : 519 = 519 : x
  2. Step 2: Convert to fraction form
    344/519 = 519/x
  3. Step 3: Cross multiply
    344x = 519 × 519
  4. Step 4: Simplify right side
    344x = 269,361
  5. Step 5: Solve for x
    x = 269,361/344
  6. Step 6: Final answer
    x = 783.03

Related Problems

Find third proportional to 172 and 259.50
Half scale
Find third proportional to 688 and 1,038
Double scale
Find third proportional to 346 and 522
Similar ratio
Find third proportional to 516 and 778.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.