Home / 13,694-19,569

Finding the Third Proportional to 13,694 and 19,569

Calculator

Solution

The third proportional to 13,694 and 19,569 is: 27,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694 : 19,569 = 19,569 : x
  2. Step 2: Convert to fraction form
    13,694/19,569 = 19,569/x
  3. Step 3: Cross multiply
    13,694x = 19,569 × 19,569
  4. Step 4: Simplify right side
    13,694x = 382,945,761
  5. Step 5: Solve for x
    x = 382,945,761/13,694
  6. Step 6: Final answer
    x = 27,964.49

Related Problems

Find third proportional to 6,847 and 9,784.50
Half scale
Find third proportional to 27,388 and 39,138
Double scale
Find third proportional to 13,696 and 19,572
Similar ratio
Find third proportional to 20,541 and 29,353.50
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.