Home / 203-306

Finding the Third Proportional to 203 and 306

Calculator

Solution

The third proportional to 203 and 306 is: 461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203 : 306 = 306 : x
  2. Step 2: Convert to fraction form
    203/306 = 306/x
  3. Step 3: Cross multiply
    203x = 306 × 306
  4. Step 4: Simplify right side
    203x = 93,636
  5. Step 5: Solve for x
    x = 93,636/203
  6. Step 6: Final answer
    x = 461.26

Related Problems

Find third proportional to 101.50 and 153
Half scale
Find third proportional to 406 and 612
Double scale
Find third proportional to 205 and 309
Similar ratio
Find third proportional to 304.50 and 459
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.