Home / 7,872-10,692

Finding the Third Proportional to 7,872 and 10,692

Calculator

Solution

The third proportional to 7,872 and 10,692 is: 14,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872 : 10,692 = 10,692 : x
  2. Step 2: Convert to fraction form
    7,872/10,692 = 10,692/x
  3. Step 3: Cross multiply
    7,872x = 10,692 × 10,692
  4. Step 4: Simplify right side
    7,872x = 114,318,864
  5. Step 5: Solve for x
    x = 114,318,864/7,872
  6. Step 6: Final answer
    x = 14,522.21

Related Problems

Find third proportional to 3,936 and 5,346
Half scale
Find third proportional to 15,744 and 21,384
Double scale
Find third proportional to 7,874 and 10,695
Similar ratio
Find third proportional to 11,808 and 16,038
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.