Home / 83-142

Finding the Third Proportional to 83 and 142

Calculator

Solution

The third proportional to 83 and 142 is: 242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83 : 142 = 142 : x
  2. Step 2: Convert to fraction form
    83/142 = 142/x
  3. Step 3: Cross multiply
    83x = 142 × 142
  4. Step 4: Simplify right side
    83x = 20,164
  5. Step 5: Solve for x
    x = 20,164/83
  6. Step 6: Final answer
    x = 242.94

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.