Home / 363-421

Finding the Third Proportional to 363 and 421

Calculator

Solution

The third proportional to 363 and 421 is: 488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    363 : 421 = 421 : x
  2. Step 2: Convert to fraction form
    363/421 = 421/x
  3. Step 3: Cross multiply
    363x = 421 × 421
  4. Step 4: Simplify right side
    363x = 177,241
  5. Step 5: Solve for x
    x = 177,241/363
  6. Step 6: Final answer
    x = 488.27

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.