Home / 13,872-15,840

Finding the Third Proportional to 13,872 and 15,840

Calculator

Solution

The third proportional to 13,872 and 15,840 is: 18,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872 : 15,840 = 15,840 : x
  2. Step 2: Convert to fraction form
    13,872/15,840 = 15,840/x
  3. Step 3: Cross multiply
    13,872x = 15,840 × 15,840
  4. Step 4: Simplify right side
    13,872x = 250,905,600
  5. Step 5: Solve for x
    x = 250,905,600/13,872
  6. Step 6: Final answer
    x = 18,087.20

Related Problems

Find third proportional to 6,936 and 7,920
Half scale
Find third proportional to 27,744 and 31,680
Double scale
Find third proportional to 13,874 and 15,842
Similar ratio
Find third proportional to 20,808 and 23,760
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.