Home / 8,185-9,022

Finding the Third Proportional to 8,185 and 9,022

Calculator

Solution

The third proportional to 8,185 and 9,022 is: 9,944.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185 : 9,022 = 9,022 : x
  2. Step 2: Convert to fraction form
    8,185/9,022 = 9,022/x
  3. Step 3: Cross multiply
    8,185x = 9,022 × 9,022
  4. Step 4: Simplify right side
    8,185x = 81,396,484
  5. Step 5: Solve for x
    x = 81,396,484/8,185
  6. Step 6: Final answer
    x = 9,944.59

Related Problems

Find third proportional to 4,092.50 and 4,511
Half scale
Find third proportional to 16,370 and 18,044
Double scale
Find third proportional to 8,187 and 9,024
Similar ratio
Find third proportional to 12,277.50 and 13,533
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.