Home / 10,198-14,362

Finding the Third Proportional to 10,198 and 14,362

Calculator

Solution

The third proportional to 10,198 and 14,362 is: 20,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198 : 14,362 = 14,362 : x
  2. Step 2: Convert to fraction form
    10,198/14,362 = 14,362/x
  3. Step 3: Cross multiply
    10,198x = 14,362 × 14,362
  4. Step 4: Simplify right side
    10,198x = 206,267,044
  5. Step 5: Solve for x
    x = 206,267,044/10,198
  6. Step 6: Final answer
    x = 20,226.23

Related Problems

Find third proportional to 5,099 and 7,181
Half scale
Find third proportional to 20,396 and 28,724
Double scale
Find third proportional to 10,200 and 14,365
Similar ratio
Find third proportional to 15,297 and 21,543
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.