Home / 12,812-13,964

Finding the Third Proportional to 12,812 and 13,964

Calculator

Solution

The third proportional to 12,812 and 13,964 is: 15,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812 : 13,964 = 13,964 : x
  2. Step 2: Convert to fraction form
    12,812/13,964 = 13,964/x
  3. Step 3: Cross multiply
    12,812x = 13,964 × 13,964
  4. Step 4: Simplify right side
    12,812x = 194,993,296
  5. Step 5: Solve for x
    x = 194,993,296/12,812
  6. Step 6: Final answer
    x = 15,219.58

Related Problems

Find third proportional to 6,406 and 6,982
Half scale
Find third proportional to 25,624 and 27,928
Double scale
Find third proportional to 12,814 and 13,966
Similar ratio
Find third proportional to 19,218 and 20,946
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.