Home / 12,538-19,351

Finding the Third Proportional to 12,538 and 19,351

Calculator

Solution

The third proportional to 12,538 and 19,351 is: 29,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538 : 19,351 = 19,351 : x
  2. Step 2: Convert to fraction form
    12,538/19,351 = 19,351/x
  3. Step 3: Cross multiply
    12,538x = 19,351 × 19,351
  4. Step 4: Simplify right side
    12,538x = 374,461,201
  5. Step 5: Solve for x
    x = 374,461,201/12,538
  6. Step 6: Final answer
    x = 29,866.10

Related Problems

Find third proportional to 6,269 and 9,675.50
Half scale
Find third proportional to 25,076 and 38,702
Double scale
Find third proportional to 12,540 and 19,354
Similar ratio
Find third proportional to 18,807 and 29,026.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.