Home / 416-442

Finding the Third Proportional to 416 and 442

Calculator

Solution

The third proportional to 416 and 442 is: 469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 442 = 442 : x
  2. Step 2: Convert to fraction form
    416/442 = 442/x
  3. Step 3: Cross multiply
    416x = 442 × 442
  4. Step 4: Simplify right side
    416x = 195,364
  5. Step 5: Solve for x
    x = 195,364/416
  6. Step 6: Final answer
    x = 469.63

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.