Home / 6,405-7,005

Finding the Third Proportional to 6,405 and 7,005

Calculator

Solution

The third proportional to 6,405 and 7,005 is: 7,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405 : 7,005 = 7,005 : x
  2. Step 2: Convert to fraction form
    6,405/7,005 = 7,005/x
  3. Step 3: Cross multiply
    6,405x = 7,005 × 7,005
  4. Step 4: Simplify right side
    6,405x = 49,070,025
  5. Step 5: Solve for x
    x = 49,070,025/6,405
  6. Step 6: Final answer
    x = 7,661.21

Related Problems

Find third proportional to 3,202.50 and 3,502.50
Half scale
Find third proportional to 12,810 and 14,010
Double scale
Find third proportional to 6,407 and 7,007
Similar ratio
Find third proportional to 9,607.50 and 10,507.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.