Home / 9,900-11,532

Finding the Third Proportional to 9,900 and 11,532

Calculator

Solution

The third proportional to 9,900 and 11,532 is: 13,433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900 : 11,532 = 11,532 : x
  2. Step 2: Convert to fraction form
    9,900/11,532 = 11,532/x
  3. Step 3: Cross multiply
    9,900x = 11,532 × 11,532
  4. Step 4: Simplify right side
    9,900x = 132,987,024
  5. Step 5: Solve for x
    x = 132,987,024/9,900
  6. Step 6: Final answer
    x = 13,433.03

Related Problems

Find third proportional to 4,950 and 5,766
Half scale
Find third proportional to 19,800 and 23,064
Double scale
Find third proportional to 9,902 and 11,534
Similar ratio
Find third proportional to 14,850 and 17,298
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.