Home / 229.25-509.75

Finding the Third Proportional to 229.25 and 509.75

Calculator

Solution

The third proportional to 229.25 and 509.75 is: 1,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.25 : 509.75 = 509.75 : x
  2. Step 2: Convert to fraction form
    229.25/509.75 = 509.75/x
  3. Step 3: Cross multiply
    229.25x = 509.75 × 509.75
  4. Step 4: Simplify right side
    229.25x = 259,845.06
  5. Step 5: Solve for x
    x = 259,845.06/229.25
  6. Step 6: Final answer
    x = 1,133.46

Related Problems

Find third proportional to 114.63 and 254.88
Half scale
Find third proportional to 458.50 and 1,019.50
Double scale
Find third proportional to 231 and 514
Similar ratio
Find third proportional to 343.88 and 764.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.