Home / 6,806-7,780

Finding the Third Proportional to 6,806 and 7,780

Calculator

Solution

The third proportional to 6,806 and 7,780 is: 8,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806 : 7,780 = 7,780 : x
  2. Step 2: Convert to fraction form
    6,806/7,780 = 7,780/x
  3. Step 3: Cross multiply
    6,806x = 7,780 × 7,780
  4. Step 4: Simplify right side
    6,806x = 60,528,400
  5. Step 5: Solve for x
    x = 60,528,400/6,806
  6. Step 6: Final answer
    x = 8,893.39

Related Problems

Find third proportional to 3,403 and 3,890
Half scale
Find third proportional to 13,612 and 15,560
Double scale
Find third proportional to 6,808 and 7,782
Similar ratio
Find third proportional to 10,209 and 11,670
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.