Home / 11,576-13,412

Finding the Third Proportional to 11,576 and 13,412

Calculator

Solution

The third proportional to 11,576 and 13,412 is: 15,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576 : 13,412 = 13,412 : x
  2. Step 2: Convert to fraction form
    11,576/13,412 = 13,412/x
  3. Step 3: Cross multiply
    11,576x = 13,412 × 13,412
  4. Step 4: Simplify right side
    11,576x = 179,881,744
  5. Step 5: Solve for x
    x = 179,881,744/11,576
  6. Step 6: Final answer
    x = 15,539.20

Related Problems

Find third proportional to 5,788 and 6,706
Half scale
Find third proportional to 23,152 and 26,824
Double scale
Find third proportional to 11,578 and 13,414
Similar ratio
Find third proportional to 17,364 and 20,118
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.