Home / 6,850-7,810

Finding the Third Proportional to 6,850 and 7,810

Calculator

Solution

The third proportional to 6,850 and 7,810 is: 8,904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850 : 7,810 = 7,810 : x
  2. Step 2: Convert to fraction form
    6,850/7,810 = 7,810/x
  3. Step 3: Cross multiply
    6,850x = 7,810 × 7,810
  4. Step 4: Simplify right side
    6,850x = 60,996,100
  5. Step 5: Solve for x
    x = 60,996,100/6,850
  6. Step 6: Final answer
    x = 8,904.54

Related Problems

Find third proportional to 3,425 and 3,905
Half scale
Find third proportional to 13,700 and 15,620
Double scale
Find third proportional to 6,852 and 7,812
Similar ratio
Find third proportional to 10,275 and 11,715
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.