Home / 10,288-11,920

Finding the Third Proportional to 10,288 and 11,920

Calculator

Solution

The third proportional to 10,288 and 11,920 is: 13,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288 : 11,920 = 11,920 : x
  2. Step 2: Convert to fraction form
    10,288/11,920 = 11,920/x
  3. Step 3: Cross multiply
    10,288x = 11,920 × 11,920
  4. Step 4: Simplify right side
    10,288x = 142,086,400
  5. Step 5: Solve for x
    x = 142,086,400/10,288
  6. Step 6: Final answer
    x = 13,810.89

Related Problems

Find third proportional to 5,144 and 5,960
Half scale
Find third proportional to 20,576 and 23,840
Double scale
Find third proportional to 10,290 and 11,922
Similar ratio
Find third proportional to 15,432 and 17,880
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.