Home / 20,416-31,213

Finding the Third Proportional to 20,416 and 31,213

Calculator

Solution

The third proportional to 20,416 and 31,213 is: 47,719.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,416 : 31,213 = 31,213 : x
  2. Step 2: Convert to fraction form
    20,416/31,213 = 31,213/x
  3. Step 3: Cross multiply
    20,416x = 31,213 × 31,213
  4. Step 4: Simplify right side
    20,416x = 974,251,369
  5. Step 5: Solve for x
    x = 974,251,369/20,416
  6. Step 6: Final answer
    x = 47,719.99

Related Problems

Find third proportional to 10,208 and 15,606.50
Half scale
Find third proportional to 40,832 and 62,426
Double scale
Find third proportional to 20,418 and 31,216
Similar ratio
Find third proportional to 30,624 and 46,819.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.