Home / 9,748-11,956

Finding the Third Proportional to 9,748 and 11,956

Calculator

Solution

The third proportional to 9,748 and 11,956 is: 14,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748 : 11,956 = 11,956 : x
  2. Step 2: Convert to fraction form
    9,748/11,956 = 11,956/x
  3. Step 3: Cross multiply
    9,748x = 11,956 × 11,956
  4. Step 4: Simplify right side
    9,748x = 142,945,936
  5. Step 5: Solve for x
    x = 142,945,936/9,748
  6. Step 6: Final answer
    x = 14,664.13

Related Problems

Find third proportional to 4,874 and 5,978
Half scale
Find third proportional to 19,496 and 23,912
Double scale
Find third proportional to 9,750 and 11,958
Similar ratio
Find third proportional to 14,622 and 17,934
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.