Home / 355-412

Finding the Third Proportional to 355 and 412

Calculator

Solution

The third proportional to 355 and 412 is: 478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    355 : 412 = 412 : x
  2. Step 2: Convert to fraction form
    355/412 = 412/x
  3. Step 3: Cross multiply
    355x = 412 × 412
  4. Step 4: Simplify right side
    355x = 169,744
  5. Step 5: Solve for x
    x = 169,744/355
  6. Step 6: Final answer
    x = 478.15

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.