Home / 350-685

Finding the Third Proportional to 350 and 685

Calculator

Solution

The third proportional to 350 and 685 is: 1,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    350 : 685 = 685 : x
  2. Step 2: Convert to fraction form
    350/685 = 685/x
  3. Step 3: Cross multiply
    350x = 685 × 685
  4. Step 4: Simplify right side
    350x = 469,225
  5. Step 5: Solve for x
    x = 469,225/350
  6. Step 6: Final answer
    x = 1,340.64

Related Problems

Find third proportional to 175 and 342.50
Half scale
Find third proportional to 700 and 1,370
Double scale
Find third proportional to 352 and 689
Similar ratio
Find third proportional to 525 and 1,027.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.