Home / 100-206

Finding the Third Proportional to 100 and 206

Calculator

Solution

The third proportional to 100 and 206 is: 424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100 : 206 = 206 : x
  2. Step 2: Convert to fraction form
    100/206 = 206/x
  3. Step 3: Cross multiply
    100x = 206 × 206
  4. Step 4: Simplify right side
    100x = 42,436
  5. Step 5: Solve for x
    x = 42,436/100
  6. Step 6: Final answer
    x = 424.36

Related Problems

Find third proportional to 50 and 103
Half scale
Find third proportional to 200 and 412
Double scale
Find third proportional to 102 and 210
Similar ratio
Find third proportional to 150 and 309
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.