Home / 12,884-19,470

Finding the Third Proportional to 12,884 and 19,470

Calculator

Solution

The third proportional to 12,884 and 19,470 is: 29,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884 : 19,470 = 19,470 : x
  2. Step 2: Convert to fraction form
    12,884/19,470 = 19,470/x
  3. Step 3: Cross multiply
    12,884x = 19,470 × 19,470
  4. Step 4: Simplify right side
    12,884x = 379,080,900
  5. Step 5: Solve for x
    x = 379,080,900/12,884
  6. Step 6: Final answer
    x = 29,422.61

Related Problems

Find third proportional to 6,442 and 9,735
Half scale
Find third proportional to 25,768 and 38,940
Double scale
Find third proportional to 12,886 and 19,473
Similar ratio
Find third proportional to 19,326 and 29,205
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.