Home / 380-411.50

Finding the Third Proportional to 380 and 411.50

Calculator

Solution

The third proportional to 380 and 411.50 is: 445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380 : 411.50 = 411.50 : x
  2. Step 2: Convert to fraction form
    380/411.50 = 411.50/x
  3. Step 3: Cross multiply
    380x = 411.50 × 411.50
  4. Step 4: Simplify right side
    380x = 169,332.25
  5. Step 5: Solve for x
    x = 169,332.25/380
  6. Step 6: Final answer
    x = 445.61

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.