Home / 6,724-9,814

Finding the Third Proportional to 6,724 and 9,814

Calculator

Solution

The third proportional to 6,724 and 9,814 is: 14,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724 : 9,814 = 9,814 : x
  2. Step 2: Convert to fraction form
    6,724/9,814 = 9,814/x
  3. Step 3: Cross multiply
    6,724x = 9,814 × 9,814
  4. Step 4: Simplify right side
    6,724x = 96,314,596
  5. Step 5: Solve for x
    x = 96,314,596/6,724
  6. Step 6: Final answer
    x = 14,324.00

Related Problems

Find third proportional to 3,362 and 4,907
Half scale
Find third proportional to 13,448 and 19,628
Double scale
Find third proportional to 6,726 and 9,817
Similar ratio
Find third proportional to 10,086 and 14,721
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.