Home / 12,838-19,069

Finding the Third Proportional to 12,838 and 19,069

Calculator

Solution

The third proportional to 12,838 and 19,069 is: 28,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838 : 19,069 = 19,069 : x
  2. Step 2: Convert to fraction form
    12,838/19,069 = 19,069/x
  3. Step 3: Cross multiply
    12,838x = 19,069 × 19,069
  4. Step 4: Simplify right side
    12,838x = 363,626,761
  5. Step 5: Solve for x
    x = 363,626,761/12,838
  6. Step 6: Final answer
    x = 28,324.25

Related Problems

Find third proportional to 6,419 and 9,534.50
Half scale
Find third proportional to 25,676 and 38,138
Double scale
Find third proportional to 12,840 and 19,072
Similar ratio
Find third proportional to 19,257 and 28,603.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.