Home / 230.91-414.56

Finding the Third Proportional to 230.91 and 414.56

Calculator

Solution

The third proportional to 230.91 and 414.56 is: 744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.91 : 414.56 = 414.56 : x
  2. Step 2: Convert to fraction form
    230.91/414.56 = 414.56/x
  3. Step 3: Cross multiply
    230.91x = 414.56 × 414.56
  4. Step 4: Simplify right side
    230.91x = 171,862.07
  5. Step 5: Solve for x
    x = 171,862.07/230.91
  6. Step 6: Final answer
    x = 744.29

Related Problems

Find third proportional to 115.45 and 207.28
Half scale
Find third proportional to 461.81 and 829.13
Double scale
Find third proportional to 233 and 418
Similar ratio
Find third proportional to 346.36 and 621.84
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.