Home / 135,364-199,122

Finding the Third Proportional to 135,364 and 199,122

Calculator

Solution

The third proportional to 135,364 and 199,122 is: 292,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,364 : 199,122 = 199,122 : x
  2. Step 2: Convert to fraction form
    135,364/199,122 = 199,122/x
  3. Step 3: Cross multiply
    135,364x = 199,122 × 199,122
  4. Step 4: Simplify right side
    135,364x = 39,649,570,884
  5. Step 5: Solve for x
    x = 39,649,570,884/135,364
  6. Step 6: Final answer
    x = 292,910.75

Related Problems

Find third proportional to 67,682 and 99,561
Half scale
Find third proportional to 270,728 and 398,244
Double scale
Find third proportional to 135,366 and 199,125
Similar ratio
Find third proportional to 203,046 and 298,683
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.