Home / 7,534-11,501

Finding the Third Proportional to 7,534 and 11,501

Calculator

Solution

The third proportional to 7,534 and 11,501 is: 17,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534 : 11,501 = 11,501 : x
  2. Step 2: Convert to fraction form
    7,534/11,501 = 11,501/x
  3. Step 3: Cross multiply
    7,534x = 11,501 × 11,501
  4. Step 4: Simplify right side
    7,534x = 132,273,001
  5. Step 5: Solve for x
    x = 132,273,001/7,534
  6. Step 6: Final answer
    x = 17,556.81

Related Problems

Find third proportional to 3,767 and 5,750.50
Half scale
Find third proportional to 15,068 and 23,002
Double scale
Find third proportional to 7,536 and 11,504
Similar ratio
Find third proportional to 11,301 and 17,251.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.