Home / 10,540-14,194

Finding the Third Proportional to 10,540 and 14,194

Calculator

Solution

The third proportional to 10,540 and 14,194 is: 19,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540 : 14,194 = 14,194 : x
  2. Step 2: Convert to fraction form
    10,540/14,194 = 14,194/x
  3. Step 3: Cross multiply
    10,540x = 14,194 × 14,194
  4. Step 4: Simplify right side
    10,540x = 201,469,636
  5. Step 5: Solve for x
    x = 201,469,636/10,540
  6. Step 6: Final answer
    x = 19,114.77

Related Problems

Find third proportional to 5,270 and 7,097
Half scale
Find third proportional to 21,080 and 28,388
Double scale
Find third proportional to 10,542 and 14,197
Similar ratio
Find third proportional to 15,810 and 21,291
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.