Home / 680-871

Finding the Third Proportional to 680 and 871

Calculator

Solution

The third proportional to 680 and 871 is: 1,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    680 : 871 = 871 : x
  2. Step 2: Convert to fraction form
    680/871 = 871/x
  3. Step 3: Cross multiply
    680x = 871 × 871
  4. Step 4: Simplify right side
    680x = 758,641
  5. Step 5: Solve for x
    x = 758,641/680
  6. Step 6: Final answer
    x = 1,115.65

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.