Home / 189-509

Finding the Third Proportional to 189 and 509

Calculator

Solution

The third proportional to 189 and 509 is: 1,370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 509 = 509 : x
  2. Step 2: Convert to fraction form
    189/509 = 509/x
  3. Step 3: Cross multiply
    189x = 509 × 509
  4. Step 4: Simplify right side
    189x = 259,081
  5. Step 5: Solve for x
    x = 259,081/189
  6. Step 6: Final answer
    x = 1,370.80

Related Problems

Find third proportional to 94.50 and 254.50
Half scale
Find third proportional to 378 and 1,018
Double scale
Find third proportional to 191 and 514
Similar ratio
Find third proportional to 283.50 and 763.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.