Home / 10,222-18,230

Finding the Third Proportional to 10,222 and 18,230

Calculator

Solution

The third proportional to 10,222 and 18,230 is: 32,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222 : 18,230 = 18,230 : x
  2. Step 2: Convert to fraction form
    10,222/18,230 = 18,230/x
  3. Step 3: Cross multiply
    10,222x = 18,230 × 18,230
  4. Step 4: Simplify right side
    10,222x = 332,332,900
  5. Step 5: Solve for x
    x = 332,332,900/10,222
  6. Step 6: Final answer
    x = 32,511.53

Related Problems

Find third proportional to 5,111 and 9,115
Half scale
Find third proportional to 20,444 and 36,460
Double scale
Find third proportional to 10,224 and 18,234
Similar ratio
Find third proportional to 15,333 and 27,345
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.