Home / 337-509

Finding the Third Proportional to 337 and 509

Calculator

Solution

The third proportional to 337 and 509 is: 768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    337 : 509 = 509 : x
  2. Step 2: Convert to fraction form
    337/509 = 509/x
  3. Step 3: Cross multiply
    337x = 509 × 509
  4. Step 4: Simplify right side
    337x = 259,081
  5. Step 5: Solve for x
    x = 259,081/337
  6. Step 6: Final answer
    x = 768.79

Related Problems

Find third proportional to 168.50 and 254.50
Half scale
Find third proportional to 674 and 1,018
Double scale
Find third proportional to 339 and 512
Similar ratio
Find third proportional to 505.50 and 763.50
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.