Home / 7,657-11,833

Finding the Third Proportional to 7,657 and 11,833

Calculator

Solution

The third proportional to 7,657 and 11,833 is: 18,286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657 : 11,833 = 11,833 : x
  2. Step 2: Convert to fraction form
    7,657/11,833 = 11,833/x
  3. Step 3: Cross multiply
    7,657x = 11,833 × 11,833
  4. Step 4: Simplify right side
    7,657x = 140,019,889
  5. Step 5: Solve for x
    x = 140,019,889/7,657
  6. Step 6: Final answer
    x = 18,286.52

Related Problems

Find third proportional to 3,828.50 and 5,916.50
Half scale
Find third proportional to 15,314 and 23,666
Double scale
Find third proportional to 7,659 and 11,836
Similar ratio
Find third proportional to 11,485.50 and 17,749.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.