Home / 10,854-15,165

Finding the Third Proportional to 10,854 and 15,165

Calculator

Solution

The third proportional to 10,854 and 15,165 is: 21,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854 : 15,165 = 15,165 : x
  2. Step 2: Convert to fraction form
    10,854/15,165 = 15,165/x
  3. Step 3: Cross multiply
    10,854x = 15,165 × 15,165
  4. Step 4: Simplify right side
    10,854x = 229,977,225
  5. Step 5: Solve for x
    x = 229,977,225/10,854
  6. Step 6: Final answer
    x = 21,188.25

Related Problems

Find third proportional to 5,427 and 7,582.50
Half scale
Find third proportional to 21,708 and 30,330
Double scale
Find third proportional to 10,856 and 15,168
Similar ratio
Find third proportional to 16,281 and 22,747.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.