Home / 33,312-69,702

Finding the Third Proportional to 33,312 and 69,702

Calculator

Solution

The third proportional to 33,312 and 69,702 is: 145,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,312 : 69,702 = 69,702 : x
  2. Step 2: Convert to fraction form
    33,312/69,702 = 69,702/x
  3. Step 3: Cross multiply
    33,312x = 69,702 × 69,702
  4. Step 4: Simplify right side
    33,312x = 4,858,368,804
  5. Step 5: Solve for x
    x = 4,858,368,804/33,312
  6. Step 6: Final answer
    x = 145,844.40

Related Problems

Find third proportional to 16,656 and 34,851
Half scale
Find third proportional to 66,624 and 139,404
Double scale
Find third proportional to 33,314 and 69,706
Similar ratio
Find third proportional to 49,968 and 104,553
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.