Home / 10,514-22,971

Finding the Third Proportional to 10,514 and 22,971

Calculator

Solution

The third proportional to 10,514 and 22,971 is: 50,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514 : 22,971 = 22,971 : x
  2. Step 2: Convert to fraction form
    10,514/22,971 = 22,971/x
  3. Step 3: Cross multiply
    10,514x = 22,971 × 22,971
  4. Step 4: Simplify right side
    10,514x = 527,666,841
  5. Step 5: Solve for x
    x = 527,666,841/10,514
  6. Step 6: Final answer
    x = 50,187.07

Related Problems

Find third proportional to 5,257 and 11,485.50
Half scale
Find third proportional to 21,028 and 45,942
Double scale
Find third proportional to 10,516 and 22,975
Similar ratio
Find third proportional to 15,771 and 34,456.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.