Home / 248-414

Finding the Third Proportional to 248 and 414

Calculator

Solution

The third proportional to 248 and 414 is: 691.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    248 : 414 = 414 : x
  2. Step 2: Convert to fraction form
    248/414 = 414/x
  3. Step 3: Cross multiply
    248x = 414 × 414
  4. Step 4: Simplify right side
    248x = 171,396
  5. Step 5: Solve for x
    x = 171,396/248
  6. Step 6: Final answer
    x = 691.11

Related Problems

Find third proportional to 124 and 207
Half scale
Find third proportional to 496 and 828
Double scale
Find third proportional to 250 and 417
Similar ratio
Find third proportional to 372 and 621
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.