Home / 21,414-51,581

Finding the Third Proportional to 21,414 and 51,581

Calculator

Solution

The third proportional to 21,414 and 51,581 is: 124,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414 : 51,581 = 51,581 : x
  2. Step 2: Convert to fraction form
    21,414/51,581 = 51,581/x
  3. Step 3: Cross multiply
    21,414x = 51,581 × 51,581
  4. Step 4: Simplify right side
    21,414x = 2,660,599,561
  5. Step 5: Solve for x
    x = 2,660,599,561/21,414
  6. Step 6: Final answer
    x = 124,245.80

Related Problems

Find third proportional to 10,707 and 25,790.50
Half scale
Find third proportional to 42,828 and 103,162
Double scale
Find third proportional to 21,416 and 51,586
Similar ratio
Find third proportional to 32,121 and 77,371.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.