Home / 11,296-23,312

Finding the Third Proportional to 11,296 and 23,312

Calculator

Solution

The third proportional to 11,296 and 23,312 is: 48,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296 : 23,312 = 23,312 : x
  2. Step 2: Convert to fraction form
    11,296/23,312 = 23,312/x
  3. Step 3: Cross multiply
    11,296x = 23,312 × 23,312
  4. Step 4: Simplify right side
    11,296x = 543,449,344
  5. Step 5: Solve for x
    x = 543,449,344/11,296
  6. Step 6: Final answer
    x = 48,109.89

Related Problems

Find third proportional to 5,648 and 11,656
Half scale
Find third proportional to 22,592 and 46,624
Double scale
Find third proportional to 11,298 and 23,316
Similar ratio
Find third proportional to 16,944 and 34,968
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.