Home / 361.50-414

Finding the Third Proportional to 361.50 and 414

Calculator

Solution

The third proportional to 361.50 and 414 is: 474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.50 : 414 = 414 : x
  2. Step 2: Convert to fraction form
    361.50/414 = 414/x
  3. Step 3: Cross multiply
    361.50x = 414 × 414
  4. Step 4: Simplify right side
    361.50x = 171,396
  5. Step 5: Solve for x
    x = 171,396/361.50
  6. Step 6: Final answer
    x = 474.12

Related Problems

Find third proportional to 180.75 and 207
Half scale
Find third proportional to 723 and 828
Double scale
Find third proportional to 364 and 416
Similar ratio
Find third proportional to 542.25 and 621
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.