Home / 10,413-15,343

Finding the Third Proportional to 10,413 and 15,343

Calculator

Solution

The third proportional to 10,413 and 15,343 is: 22,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413 : 15,343 = 15,343 : x
  2. Step 2: Convert to fraction form
    10,413/15,343 = 15,343/x
  3. Step 3: Cross multiply
    10,413x = 15,343 × 15,343
  4. Step 4: Simplify right side
    10,413x = 235,407,649
  5. Step 5: Solve for x
    x = 235,407,649/10,413
  6. Step 6: Final answer
    x = 22,607.09

Related Problems

Find third proportional to 5,206.50 and 7,671.50
Half scale
Find third proportional to 20,826 and 30,686
Double scale
Find third proportional to 10,415 and 15,346
Similar ratio
Find third proportional to 15,619.50 and 23,014.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.