Home / 32,716-69,806

Finding the Third Proportional to 32,716 and 69,806

Calculator

Solution

The third proportional to 32,716 and 69,806 is: 148,944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,716 : 69,806 = 69,806 : x
  2. Step 2: Convert to fraction form
    32,716/69,806 = 69,806/x
  3. Step 3: Cross multiply
    32,716x = 69,806 × 69,806
  4. Step 4: Simplify right side
    32,716x = 4,872,877,636
  5. Step 5: Solve for x
    x = 4,872,877,636/32,716
  6. Step 6: Final answer
    x = 148,944.79

Related Problems

Find third proportional to 16,358 and 34,903
Half scale
Find third proportional to 65,432 and 139,612
Double scale
Find third proportional to 32,718 and 69,810
Similar ratio
Find third proportional to 49,074 and 104,709
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.