Home / 10,434-14,211

Finding the Third Proportional to 10,434 and 14,211

Calculator

Solution

The third proportional to 10,434 and 14,211 is: 19,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434 : 14,211 = 14,211 : x
  2. Step 2: Convert to fraction form
    10,434/14,211 = 14,211/x
  3. Step 3: Cross multiply
    10,434x = 14,211 × 14,211
  4. Step 4: Simplify right side
    10,434x = 201,952,521
  5. Step 5: Solve for x
    x = 201,952,521/10,434
  6. Step 6: Final answer
    x = 19,355.23

Related Problems

Find third proportional to 5,217 and 7,105.50
Half scale
Find third proportional to 20,868 and 28,422
Double scale
Find third proportional to 10,436 and 14,214
Similar ratio
Find third proportional to 15,651 and 21,316.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.