Home / 346-519

Finding the Third Proportional to 346 and 519

Calculator

Solution

The third proportional to 346 and 519 is: 778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346 : 519 = 519 : x
  2. Step 2: Convert to fraction form
    346/519 = 519/x
  3. Step 3: Cross multiply
    346x = 519 × 519
  4. Step 4: Simplify right side
    346x = 269,361
  5. Step 5: Solve for x
    x = 269,361/346
  6. Step 6: Final answer
    x = 778.50

Related Problems

Find third proportional to 173 and 259.50
Half scale
Find third proportional to 692 and 1,038
Double scale
Find third proportional to 348 and 522
Similar ratio
Find third proportional to 519 and 778.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.