Home / 10,212-15,372

Finding the Third Proportional to 10,212 and 15,372

Calculator

Solution

The third proportional to 10,212 and 15,372 is: 23,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212 : 15,372 = 15,372 : x
  2. Step 2: Convert to fraction form
    10,212/15,372 = 15,372/x
  3. Step 3: Cross multiply
    10,212x = 15,372 × 15,372
  4. Step 4: Simplify right side
    10,212x = 236,298,384
  5. Step 5: Solve for x
    x = 236,298,384/10,212
  6. Step 6: Final answer
    x = 23,139.29

Related Problems

Find third proportional to 5,106 and 7,686
Half scale
Find third proportional to 20,424 and 30,744
Double scale
Find third proportional to 10,214 and 15,375
Similar ratio
Find third proportional to 15,318 and 23,058
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.