Home / 6,900-9,857

Finding the Third Proportional to 6,900 and 9,857

Calculator

Solution

The third proportional to 6,900 and 9,857 is: 14,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900 : 9,857 = 9,857 : x
  2. Step 2: Convert to fraction form
    6,900/9,857 = 9,857/x
  3. Step 3: Cross multiply
    6,900x = 9,857 × 9,857
  4. Step 4: Simplify right side
    6,900x = 97,160,449
  5. Step 5: Solve for x
    x = 97,160,449/6,900
  6. Step 6: Final answer
    x = 14,081.22

Related Problems

Find third proportional to 3,450 and 4,928.50
Half scale
Find third proportional to 13,800 and 19,714
Double scale
Find third proportional to 6,902 and 9,860
Similar ratio
Find third proportional to 10,350 and 14,785.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.