Home / 12,704-19,324

Finding the Third Proportional to 12,704 and 19,324

Calculator

Solution

The third proportional to 12,704 and 19,324 is: 29,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704 : 19,324 = 19,324 : x
  2. Step 2: Convert to fraction form
    12,704/19,324 = 19,324/x
  3. Step 3: Cross multiply
    12,704x = 19,324 × 19,324
  4. Step 4: Simplify right side
    12,704x = 373,416,976
  5. Step 5: Solve for x
    x = 373,416,976/12,704
  6. Step 6: Final answer
    x = 29,393.65

Related Problems

Find third proportional to 6,352 and 9,662
Half scale
Find third proportional to 25,408 and 38,648
Double scale
Find third proportional to 12,706 and 19,327
Similar ratio
Find third proportional to 19,056 and 28,986
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.