Home / 10,964-22,702

Finding the Third Proportional to 10,964 and 22,702

Calculator

Solution

The third proportional to 10,964 and 22,702 is: 47,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964 : 22,702 = 22,702 : x
  2. Step 2: Convert to fraction form
    10,964/22,702 = 22,702/x
  3. Step 3: Cross multiply
    10,964x = 22,702 × 22,702
  4. Step 4: Simplify right side
    10,964x = 515,380,804
  5. Step 5: Solve for x
    x = 515,380,804/10,964
  6. Step 6: Final answer
    x = 47,006.64

Related Problems

Find third proportional to 5,482 and 11,351
Half scale
Find third proportional to 21,928 and 45,404
Double scale
Find third proportional to 10,966 and 22,706
Similar ratio
Find third proportional to 16,446 and 34,053
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.