Home / 519.54-778.04

Finding the Third Proportional to 519.54 and 778.04

Calculator

Solution

The third proportional to 519.54 and 778.04 is: 1,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.54 : 778.04 = 778.04 : x
  2. Step 2: Convert to fraction form
    519.54/778.04 = 778.04/x
  3. Step 3: Cross multiply
    519.54x = 778.04 × 778.04
  4. Step 4: Simplify right side
    519.54x = 605,350.86
  5. Step 5: Solve for x
    x = 605,350.86/519.54
  6. Step 6: Final answer
    x = 1,165.17

Related Problems

Find third proportional to 259.77 and 389.02
Half scale
Find third proportional to 1,039.08 and 1,556.09
Double scale
Find third proportional to 522 and 781
Similar ratio
Find third proportional to 779.31 and 1,167.06
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.