Home / 149-350

Finding the Third Proportional to 149 and 350

Calculator

Solution

The third proportional to 149 and 350 is: 822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149 : 350 = 350 : x
  2. Step 2: Convert to fraction form
    149/350 = 350/x
  3. Step 3: Cross multiply
    149x = 350 × 350
  4. Step 4: Simplify right side
    149x = 122,500
  5. Step 5: Solve for x
    x = 122,500/149
  6. Step 6: Final answer
    x = 822.15

Related Problems

Find third proportional to 74.50 and 175
Half scale
Find third proportional to 298 and 700
Double scale
Find third proportional to 151 and 355
Similar ratio
Find third proportional to 223.50 and 525
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.