Home / 13,696-19,571

Finding the Third Proportional to 13,696 and 19,571

Calculator

Solution

The third proportional to 13,696 and 19,571 is: 27,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696 : 19,571 = 19,571 : x
  2. Step 2: Convert to fraction form
    13,696/19,571 = 19,571/x
  3. Step 3: Cross multiply
    13,696x = 19,571 × 19,571
  4. Step 4: Simplify right side
    13,696x = 383,024,041
  5. Step 5: Solve for x
    x = 383,024,041/13,696
  6. Step 6: Final answer
    x = 27,966.12

Related Problems

Find third proportional to 6,848 and 9,785.50
Half scale
Find third proportional to 27,392 and 39,142
Double scale
Find third proportional to 13,698 and 19,574
Similar ratio
Find third proportional to 20,544 and 29,356.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.