Home / 377-414

Finding the Third Proportional to 377 and 414

Calculator

Solution

The third proportional to 377 and 414 is: 454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    377 : 414 = 414 : x
  2. Step 2: Convert to fraction form
    377/414 = 414/x
  3. Step 3: Cross multiply
    377x = 414 × 414
  4. Step 4: Simplify right side
    377x = 171,396
  5. Step 5: Solve for x
    x = 171,396/377
  6. Step 6: Final answer
    x = 454.63

Related Problems

Find third proportional to 188.50 and 207
Half scale
Find third proportional to 754 and 828
Double scale
Find third proportional to 379 and 416
Similar ratio
Find third proportional to 565.50 and 621
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.