Home / 12,408-19,458

Finding the Third Proportional to 12,408 and 19,458

Calculator

Solution

The third proportional to 12,408 and 19,458 is: 30,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408 : 19,458 = 19,458 : x
  2. Step 2: Convert to fraction form
    12,408/19,458 = 19,458/x
  3. Step 3: Cross multiply
    12,408x = 19,458 × 19,458
  4. Step 4: Simplify right side
    12,408x = 378,613,764
  5. Step 5: Solve for x
    x = 378,613,764/12,408
  6. Step 6: Final answer
    x = 30,513.68

Related Problems

Find third proportional to 6,204 and 9,729
Half scale
Find third proportional to 24,816 and 38,916
Double scale
Find third proportional to 12,410 and 19,461
Similar ratio
Find third proportional to 18,612 and 29,187
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.