Home / 233-309

Finding the Third Proportional to 233 and 309

Calculator

Solution

The third proportional to 233 and 309 is: 409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233 : 309 = 309 : x
  2. Step 2: Convert to fraction form
    233/309 = 309/x
  3. Step 3: Cross multiply
    233x = 309 × 309
  4. Step 4: Simplify right side
    233x = 95,481
  5. Step 5: Solve for x
    x = 95,481/233
  6. Step 6: Final answer
    x = 409.79

Related Problems

Find third proportional to 116.50 and 154.50
Half scale
Find third proportional to 466 and 618
Double scale
Find third proportional to 235 and 312
Similar ratio
Find third proportional to 349.50 and 463.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.