Home / 21,206-31,161

Finding the Third Proportional to 21,206 and 31,161

Calculator

Solution

The third proportional to 21,206 and 31,161 is: 45,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206 : 31,161 = 31,161 : x
  2. Step 2: Convert to fraction form
    21,206/31,161 = 31,161/x
  3. Step 3: Cross multiply
    21,206x = 31,161 × 31,161
  4. Step 4: Simplify right side
    21,206x = 971,007,921
  5. Step 5: Solve for x
    x = 971,007,921/21,206
  6. Step 6: Final answer
    x = 45,789.30

Related Problems

Find third proportional to 10,603 and 15,580.50
Half scale
Find third proportional to 42,412 and 62,322
Double scale
Find third proportional to 21,208 and 31,164
Similar ratio
Find third proportional to 31,809 and 46,741.50
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.