Home / 10,821-23,217

Finding the Third Proportional to 10,821 and 23,217

Calculator

Solution

The third proportional to 10,821 and 23,217 is: 49,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821 : 23,217 = 23,217 : x
  2. Step 2: Convert to fraction form
    10,821/23,217 = 23,217/x
  3. Step 3: Cross multiply
    10,821x = 23,217 × 23,217
  4. Step 4: Simplify right side
    10,821x = 539,029,089
  5. Step 5: Solve for x
    x = 539,029,089/10,821
  6. Step 6: Final answer
    x = 49,813.24

Related Problems

Find third proportional to 5,410.50 and 11,608.50
Half scale
Find third proportional to 21,642 and 46,434
Double scale
Find third proportional to 10,823 and 23,221
Similar ratio
Find third proportional to 16,231.50 and 34,825.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.