Home / 12,984-19,408

Finding the Third Proportional to 12,984 and 19,408

Calculator

Solution

The third proportional to 12,984 and 19,408 is: 29,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984 : 19,408 = 19,408 : x
  2. Step 2: Convert to fraction form
    12,984/19,408 = 19,408/x
  3. Step 3: Cross multiply
    12,984x = 19,408 × 19,408
  4. Step 4: Simplify right side
    12,984x = 376,670,464
  5. Step 5: Solve for x
    x = 376,670,464/12,984
  6. Step 6: Final answer
    x = 29,010.36

Related Problems

Find third proportional to 6,492 and 9,704
Half scale
Find third proportional to 25,968 and 38,816
Double scale
Find third proportional to 12,986 and 19,411
Similar ratio
Find third proportional to 19,476 and 29,112
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.