Home / 4,215-10,213.50

Finding the Third Proportional to 4,215 and 10,213.50

Calculator

Solution

The third proportional to 4,215 and 10,213.50 is: 24,748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215 : 10,213.50 = 10,213.50 : x
  2. Step 2: Convert to fraction form
    4,215/10,213.50 = 10,213.50/x
  3. Step 3: Cross multiply
    4,215x = 10,213.50 × 10,213.50
  4. Step 4: Simplify right side
    4,215x = 104,315,582.25
  5. Step 5: Solve for x
    x = 104,315,582.25/4,215
  6. Step 6: Final answer
    x = 24,748.66

Related Problems

Find third proportional to 2,107.50 and 5,106.75
Half scale
Find third proportional to 8,430 and 20,427
Double scale
Find third proportional to 4,217 and 10,218
Similar ratio
Find third proportional to 6,322.50 and 15,320.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.