Home / 13,574-19,874

Finding the Third Proportional to 13,574 and 19,874

Calculator

Solution

The third proportional to 13,574 and 19,874 is: 29,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574 : 19,874 = 19,874 : x
  2. Step 2: Convert to fraction form
    13,574/19,874 = 19,874/x
  3. Step 3: Cross multiply
    13,574x = 19,874 × 19,874
  4. Step 4: Simplify right side
    13,574x = 394,975,876
  5. Step 5: Solve for x
    x = 394,975,876/13,574
  6. Step 6: Final answer
    x = 29,097.97

Related Problems

Find third proportional to 6,787 and 9,937
Half scale
Find third proportional to 27,148 and 39,748
Double scale
Find third proportional to 13,576 and 19,877
Similar ratio
Find third proportional to 20,361 and 29,811
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.