Home / 230.25-540.38

Finding the Third Proportional to 230.25 and 540.38

Calculator

Solution

The third proportional to 230.25 and 540.38 is: 1,268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.25 : 540.38 = 540.38 : x
  2. Step 2: Convert to fraction form
    230.25/540.38 = 540.38/x
  3. Step 3: Cross multiply
    230.25x = 540.38 × 540.38
  4. Step 4: Simplify right side
    230.25x = 292,005.14
  5. Step 5: Solve for x
    x = 292,005.14/230.25
  6. Step 6: Final answer
    x = 1,268.21

Related Problems

Find third proportional to 115.13 and 270.19
Half scale
Find third proportional to 460.50 and 1,080.75
Double scale
Find third proportional to 232 and 545
Similar ratio
Find third proportional to 345.38 and 810.56
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.