Home / 6,805-9,974

Finding the Third Proportional to 6,805 and 9,974

Calculator

Solution

The third proportional to 6,805 and 9,974 is: 14,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805 : 9,974 = 9,974 : x
  2. Step 2: Convert to fraction form
    6,805/9,974 = 9,974/x
  3. Step 3: Cross multiply
    6,805x = 9,974 × 9,974
  4. Step 4: Simplify right side
    6,805x = 99,480,676
  5. Step 5: Solve for x
    x = 99,480,676/6,805
  6. Step 6: Final answer
    x = 14,618.76

Related Problems

Find third proportional to 3,402.50 and 4,987
Half scale
Find third proportional to 13,610 and 19,948
Double scale
Find third proportional to 6,807 and 9,977
Similar ratio
Find third proportional to 10,207.50 and 14,961
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.