Home / 226-509

Finding the Third Proportional to 226 and 509

Calculator

Solution

The third proportional to 226 and 509 is: 1,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226 : 509 = 509 : x
  2. Step 2: Convert to fraction form
    226/509 = 509/x
  3. Step 3: Cross multiply
    226x = 509 × 509
  4. Step 4: Simplify right side
    226x = 259,081
  5. Step 5: Solve for x
    x = 259,081/226
  6. Step 6: Final answer
    x = 1,146.38

Related Problems

Find third proportional to 113 and 254.50
Half scale
Find third proportional to 452 and 1,018
Double scale
Find third proportional to 228 and 514
Similar ratio
Find third proportional to 339 and 763.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.