Home / 18,022-19,642

Finding the Third Proportional to 18,022 and 19,642

Calculator

Solution

The third proportional to 18,022 and 19,642 is: 21,407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,022 : 19,642 = 19,642 : x
  2. Step 2: Convert to fraction form
    18,022/19,642 = 19,642/x
  3. Step 3: Cross multiply
    18,022x = 19,642 × 19,642
  4. Step 4: Simplify right side
    18,022x = 385,808,164
  5. Step 5: Solve for x
    x = 385,808,164/18,022
  6. Step 6: Final answer
    x = 21,407.62

Related Problems

Find third proportional to 9,011 and 9,821
Half scale
Find third proportional to 36,044 and 39,284
Double scale
Find third proportional to 18,024 and 19,644
Similar ratio
Find third proportional to 27,033 and 29,463
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.