Home / 6,864-9,032

Finding the Third Proportional to 6,864 and 9,032

Calculator

Solution

The third proportional to 6,864 and 9,032 is: 11,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864 : 9,032 = 9,032 : x
  2. Step 2: Convert to fraction form
    6,864/9,032 = 9,032/x
  3. Step 3: Cross multiply
    6,864x = 9,032 × 9,032
  4. Step 4: Simplify right side
    6,864x = 81,577,024
  5. Step 5: Solve for x
    x = 81,577,024/6,864
  6. Step 6: Final answer
    x = 11,884.76

Related Problems

Find third proportional to 3,432 and 4,516
Half scale
Find third proportional to 13,728 and 18,064
Double scale
Find third proportional to 6,866 and 9,035
Similar ratio
Find third proportional to 10,296 and 13,548
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.