Home / 234.50-509

Finding the Third Proportional to 234.50 and 509

Calculator

Solution

The third proportional to 234.50 and 509 is: 1,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.50 : 509 = 509 : x
  2. Step 2: Convert to fraction form
    234.50/509 = 509/x
  3. Step 3: Cross multiply
    234.50x = 509 × 509
  4. Step 4: Simplify right side
    234.50x = 259,081
  5. Step 5: Solve for x
    x = 259,081/234.50
  6. Step 6: Final answer
    x = 1,104.82

Related Problems

Find third proportional to 117.25 and 254.50
Half scale
Find third proportional to 469 and 1,018
Double scale
Find third proportional to 237 and 513
Similar ratio
Find third proportional to 351.75 and 763.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.