Home / 13,006-20,129

Finding the Third Proportional to 13,006 and 20,129

Calculator

Solution

The third proportional to 13,006 and 20,129 is: 31,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006 : 20,129 = 20,129 : x
  2. Step 2: Convert to fraction form
    13,006/20,129 = 20,129/x
  3. Step 3: Cross multiply
    13,006x = 20,129 × 20,129
  4. Step 4: Simplify right side
    13,006x = 405,176,641
  5. Step 5: Solve for x
    x = 405,176,641/13,006
  6. Step 6: Final answer
    x = 31,153.06

Related Problems

Find third proportional to 6,503 and 10,064.50
Half scale
Find third proportional to 26,012 and 40,258
Double scale
Find third proportional to 13,008 and 20,132
Similar ratio
Find third proportional to 19,509 and 30,193.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.