Home / 232.03-509.63

Finding the Third Proportional to 232.03 and 509.63

Calculator

Solution

The third proportional to 232.03 and 509.63 is: 1,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.03 : 509.63 = 509.63 : x
  2. Step 2: Convert to fraction form
    232.03/509.63 = 509.63/x
  3. Step 3: Cross multiply
    232.03x = 509.63 × 509.63
  4. Step 4: Simplify right side
    232.03x = 259,717.64
  5. Step 5: Solve for x
    x = 259,717.64/232.03
  6. Step 6: Final answer
    x = 1,119.32

Related Problems

Find third proportional to 116.02 and 254.81
Half scale
Find third proportional to 464.06 and 1,019.25
Double scale
Find third proportional to 234 and 514
Similar ratio
Find third proportional to 348.05 and 764.44
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.