Home / 346-519.75

Finding the Third Proportional to 346 and 519.75

Calculator

Solution

The third proportional to 346 and 519.75 is: 780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346 : 519.75 = 519.75 : x
  2. Step 2: Convert to fraction form
    346/519.75 = 519.75/x
  3. Step 3: Cross multiply
    346x = 519.75 × 519.75
  4. Step 4: Simplify right side
    346x = 270,140.06
  5. Step 5: Solve for x
    x = 270,140.06/346
  6. Step 6: Final answer
    x = 780.75

Related Problems

Find third proportional to 173 and 259.88
Half scale
Find third proportional to 692 and 1,039.50
Double scale
Find third proportional to 348 and 523
Similar ratio
Find third proportional to 519 and 779.63
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.