Home / 11,421-13,149

Finding the Third Proportional to 11,421 and 13,149

Calculator

Solution

The third proportional to 11,421 and 13,149 is: 15,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421 : 13,149 = 13,149 : x
  2. Step 2: Convert to fraction form
    11,421/13,149 = 13,149/x
  3. Step 3: Cross multiply
    11,421x = 13,149 × 13,149
  4. Step 4: Simplify right side
    11,421x = 172,896,201
  5. Step 5: Solve for x
    x = 172,896,201/11,421
  6. Step 6: Final answer
    x = 15,138.45

Related Problems

Find third proportional to 5,710.50 and 6,574.50
Half scale
Find third proportional to 22,842 and 26,298
Double scale
Find third proportional to 11,423 and 13,151
Similar ratio
Find third proportional to 17,131.50 and 19,723.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.