Home / 20,021-31,397

Finding the Third Proportional to 20,021 and 31,397

Calculator

Solution

The third proportional to 20,021 and 31,397 is: 49,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,021 : 31,397 = 31,397 : x
  2. Step 2: Convert to fraction form
    20,021/31,397 = 31,397/x
  3. Step 3: Cross multiply
    20,021x = 31,397 × 31,397
  4. Step 4: Simplify right side
    20,021x = 985,771,609
  5. Step 5: Solve for x
    x = 985,771,609/20,021
  6. Step 6: Final answer
    x = 49,236.88

Related Problems

Find third proportional to 10,010.50 and 15,698.50
Half scale
Find third proportional to 40,042 and 62,794
Double scale
Find third proportional to 20,023 and 31,400
Similar ratio
Find third proportional to 30,031.50 and 47,095.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.