Home / 121,964-194,238

Finding the Third Proportional to 121,964 and 194,238

Calculator

Solution

The third proportional to 121,964 and 194,238 is: 309,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,964 : 194,238 = 194,238 : x
  2. Step 2: Convert to fraction form
    121,964/194,238 = 194,238/x
  3. Step 3: Cross multiply
    121,964x = 194,238 × 194,238
  4. Step 4: Simplify right side
    121,964x = 37,728,400,644
  5. Step 5: Solve for x
    x = 37,728,400,644/121,964
  6. Step 6: Final answer
    x = 309,340.47

Related Problems

Find third proportional to 60,982 and 97,119
Half scale
Find third proportional to 243,928 and 388,476
Double scale
Find third proportional to 121,966 and 194,241
Similar ratio
Find third proportional to 182,946 and 291,357
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.