Home / 21,212-31,197

Finding the Third Proportional to 21,212 and 31,197

Calculator

Solution

The third proportional to 21,212 and 31,197 is: 45,882.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212 : 31,197 = 31,197 : x
  2. Step 2: Convert to fraction form
    21,212/31,197 = 31,197/x
  3. Step 3: Cross multiply
    21,212x = 31,197 × 31,197
  4. Step 4: Simplify right side
    21,212x = 973,252,809
  5. Step 5: Solve for x
    x = 973,252,809/21,212
  6. Step 6: Final answer
    x = 45,882.18

Related Problems

Find third proportional to 10,606 and 15,598.50
Half scale
Find third proportional to 42,424 and 62,394
Double scale
Find third proportional to 21,214 and 31,200
Similar ratio
Find third proportional to 31,818 and 46,795.50
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.