Home / 12,284-19,581

Finding the Third Proportional to 12,284 and 19,581

Calculator

Solution

The third proportional to 12,284 and 19,581 is: 31,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284 : 19,581 = 19,581 : x
  2. Step 2: Convert to fraction form
    12,284/19,581 = 19,581/x
  3. Step 3: Cross multiply
    12,284x = 19,581 × 19,581
  4. Step 4: Simplify right side
    12,284x = 383,415,561
  5. Step 5: Solve for x
    x = 383,415,561/12,284
  6. Step 6: Final answer
    x = 31,212.60

Related Problems

Find third proportional to 6,142 and 9,790.50
Half scale
Find third proportional to 24,568 and 39,162
Double scale
Find third proportional to 12,286 and 19,584
Similar ratio
Find third proportional to 18,426 and 29,371.50
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.