Home / 268.69-406.78

Finding the Third Proportional to 268.69 and 406.78

Calculator

Solution

The third proportional to 268.69 and 406.78 is: 615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.69 : 406.78 = 406.78 : x
  2. Step 2: Convert to fraction form
    268.69/406.78 = 406.78/x
  3. Step 3: Cross multiply
    268.69x = 406.78 × 406.78
  4. Step 4: Simplify right side
    268.69x = 165,470.99
  5. Step 5: Solve for x
    x = 165,470.99/268.69
  6. Step 6: Final answer
    x = 615.85

Related Problems

Find third proportional to 134.34 and 203.39
Half scale
Find third proportional to 537.38 and 813.56
Double scale
Find third proportional to 271 and 410
Similar ratio
Find third proportional to 403.03 and 610.17
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.