Home / 9,686-21,195

Finding the Third Proportional to 9,686 and 21,195

Calculator

Solution

The third proportional to 9,686 and 21,195 is: 46,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686 : 21,195 = 21,195 : x
  2. Step 2: Convert to fraction form
    9,686/21,195 = 21,195/x
  3. Step 3: Cross multiply
    9,686x = 21,195 × 21,195
  4. Step 4: Simplify right side
    9,686x = 449,228,025
  5. Step 5: Solve for x
    x = 449,228,025/9,686
  6. Step 6: Final answer
    x = 46,379.11

Related Problems

Find third proportional to 4,843 and 10,597.50
Half scale
Find third proportional to 19,372 and 42,390
Double scale
Find third proportional to 9,688 and 21,199
Similar ratio
Find third proportional to 14,529 and 31,792.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.