Home / 5,800-6,688

Finding the Third Proportional to 5,800 and 6,688

Calculator

Solution

The third proportional to 5,800 and 6,688 is: 7,711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800 : 6,688 = 6,688 : x
  2. Step 2: Convert to fraction form
    5,800/6,688 = 6,688/x
  3. Step 3: Cross multiply
    5,800x = 6,688 × 6,688
  4. Step 4: Simplify right side
    5,800x = 44,729,344
  5. Step 5: Solve for x
    x = 44,729,344/5,800
  6. Step 6: Final answer
    x = 7,711.96

Related Problems

Find third proportional to 2,900 and 3,344
Half scale
Find third proportional to 11,600 and 13,376
Double scale
Find third proportional to 5,802 and 6,690
Similar ratio
Find third proportional to 8,700 and 10,032
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.