Home / 12,224-19,376

Finding the Third Proportional to 12,224 and 19,376

Calculator

Solution

The third proportional to 12,224 and 19,376 is: 30,712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224 : 19,376 = 19,376 : x
  2. Step 2: Convert to fraction form
    12,224/19,376 = 19,376/x
  3. Step 3: Cross multiply
    12,224x = 19,376 × 19,376
  4. Step 4: Simplify right side
    12,224x = 375,429,376
  5. Step 5: Solve for x
    x = 375,429,376/12,224
  6. Step 6: Final answer
    x = 30,712.48

Related Problems

Find third proportional to 6,112 and 9,688
Half scale
Find third proportional to 24,448 and 38,752
Double scale
Find third proportional to 12,226 and 19,379
Similar ratio
Find third proportional to 18,336 and 29,064
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.