Home / 10,964-15,690

Finding the Third Proportional to 10,964 and 15,690

Calculator

Solution

The third proportional to 10,964 and 15,690 is: 22,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964 : 15,690 = 15,690 : x
  2. Step 2: Convert to fraction form
    10,964/15,690 = 15,690/x
  3. Step 3: Cross multiply
    10,964x = 15,690 × 15,690
  4. Step 4: Simplify right side
    10,964x = 246,176,100
  5. Step 5: Solve for x
    x = 246,176,100/10,964
  6. Step 6: Final answer
    x = 22,453.13

Related Problems

Find third proportional to 5,482 and 7,845
Half scale
Find third proportional to 21,928 and 31,380
Double scale
Find third proportional to 10,966 and 15,693
Similar ratio
Find third proportional to 16,446 and 23,535
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.