Home / 239-509

Finding the Third Proportional to 239 and 509

Calculator

Solution

The third proportional to 239 and 509 is: 1,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    239 : 509 = 509 : x
  2. Step 2: Convert to fraction form
    239/509 = 509/x
  3. Step 3: Cross multiply
    239x = 509 × 509
  4. Step 4: Simplify right side
    239x = 259,081
  5. Step 5: Solve for x
    x = 259,081/239
  6. Step 6: Final answer
    x = 1,084.02

Related Problems

Find third proportional to 119.50 and 254.50
Half scale
Find third proportional to 478 and 1,018
Double scale
Find third proportional to 241 and 513
Similar ratio
Find third proportional to 358.50 and 763.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.