Home / 312.88-414.94

Finding the Third Proportional to 312.88 and 414.94

Calculator

Solution

The third proportional to 312.88 and 414.94 is: 550.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.88 : 414.94 = 414.94 : x
  2. Step 2: Convert to fraction form
    312.88/414.94 = 414.94/x
  3. Step 3: Cross multiply
    312.88x = 414.94 × 414.94
  4. Step 4: Simplify right side
    312.88x = 172,173.13
  5. Step 5: Solve for x
    x = 172,173.13/312.88
  6. Step 6: Final answer
    x = 550.29

Related Problems

Find third proportional to 156.44 and 207.47
Half scale
Find third proportional to 625.75 and 829.88
Double scale
Find third proportional to 315 and 418
Similar ratio
Find third proportional to 469.31 and 622.41
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.