Home / 13,970-19,912

Finding the Third Proportional to 13,970 and 19,912

Calculator

Solution

The third proportional to 13,970 and 19,912 is: 28,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970 : 19,912 = 19,912 : x
  2. Step 2: Convert to fraction form
    13,970/19,912 = 19,912/x
  3. Step 3: Cross multiply
    13,970x = 19,912 × 19,912
  4. Step 4: Simplify right side
    13,970x = 396,487,744
  5. Step 5: Solve for x
    x = 396,487,744/13,970
  6. Step 6: Final answer
    x = 28,381.37

Related Problems

Find third proportional to 6,985 and 9,956
Half scale
Find third proportional to 27,940 and 39,824
Double scale
Find third proportional to 13,972 and 19,915
Similar ratio
Find third proportional to 20,955 and 29,868
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.