Home / 206-309

Finding the Third Proportional to 206 and 309

Calculator

Solution

The third proportional to 206 and 309 is: 463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206 : 309 = 309 : x
  2. Step 2: Convert to fraction form
    206/309 = 309/x
  3. Step 3: Cross multiply
    206x = 309 × 309
  4. Step 4: Simplify right side
    206x = 95,481
  5. Step 5: Solve for x
    x = 95,481/206
  6. Step 6: Final answer
    x = 463.50

Related Problems

Find third proportional to 103 and 154.50
Half scale
Find third proportional to 412 and 618
Double scale
Find third proportional to 208 and 312
Similar ratio
Find third proportional to 309 and 463.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.