Home / 117-206

Finding the Third Proportional to 117 and 206

Calculator

Solution

The third proportional to 117 and 206 is: 362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 206 = 206 : x
  2. Step 2: Convert to fraction form
    117/206 = 206/x
  3. Step 3: Cross multiply
    117x = 206 × 206
  4. Step 4: Simplify right side
    117x = 42,436
  5. Step 5: Solve for x
    x = 42,436/117
  6. Step 6: Final answer
    x = 362.70

Related Problems

Find third proportional to 58.50 and 103
Half scale
Find third proportional to 234 and 412
Double scale
Find third proportional to 119 and 210
Similar ratio
Find third proportional to 175.50 and 309
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.