Home / 12,348-16,106

Finding the Third Proportional to 12,348 and 16,106

Calculator

Solution

The third proportional to 12,348 and 16,106 is: 21,007.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348 : 16,106 = 16,106 : x
  2. Step 2: Convert to fraction form
    12,348/16,106 = 16,106/x
  3. Step 3: Cross multiply
    12,348x = 16,106 × 16,106
  4. Step 4: Simplify right side
    12,348x = 259,403,236
  5. Step 5: Solve for x
    x = 259,403,236/12,348
  6. Step 6: Final answer
    x = 21,007.71

Related Problems

Find third proportional to 6,174 and 8,053
Half scale
Find third proportional to 24,696 and 32,212
Double scale
Find third proportional to 12,350 and 16,109
Similar ratio
Find third proportional to 18,522 and 24,159
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.