Home / 13,122-20,778

Finding the Third Proportional to 13,122 and 20,778

Calculator

Solution

The third proportional to 13,122 and 20,778 is: 32,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122 : 20,778 = 20,778 : x
  2. Step 2: Convert to fraction form
    13,122/20,778 = 20,778/x
  3. Step 3: Cross multiply
    13,122x = 20,778 × 20,778
  4. Step 4: Simplify right side
    13,122x = 431,725,284
  5. Step 5: Solve for x
    x = 431,725,284/13,122
  6. Step 6: Final answer
    x = 32,900.88

Related Problems

Find third proportional to 6,561 and 10,389
Half scale
Find third proportional to 26,244 and 41,556
Double scale
Find third proportional to 13,124 and 20,781
Similar ratio
Find third proportional to 19,683 and 31,167
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.