Home / 135,922-284,238

Finding the Third Proportional to 135,922 and 284,238

Calculator

Solution

The third proportional to 135,922 and 284,238 is: 594,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,922 : 284,238 = 284,238 : x
  2. Step 2: Convert to fraction form
    135,922/284,238 = 284,238/x
  3. Step 3: Cross multiply
    135,922x = 284,238 × 284,238
  4. Step 4: Simplify right side
    135,922x = 80,791,240,644
  5. Step 5: Solve for x
    x = 80,791,240,644/135,922
  6. Step 6: Final answer
    x = 594,394.14

Related Problems

Find third proportional to 67,961 and 142,119
Half scale
Find third proportional to 271,844 and 568,476
Double scale
Find third proportional to 135,924 and 284,242
Similar ratio
Find third proportional to 203,883 and 426,357
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.