Home / 30,991-66,950

Finding the Third Proportional to 30,991 and 66,950

Calculator

Solution

The third proportional to 30,991 and 66,950 is: 144,632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991 : 66,950 = 66,950 : x
  2. Step 2: Convert to fraction form
    30,991/66,950 = 66,950/x
  3. Step 3: Cross multiply
    30,991x = 66,950 × 66,950
  4. Step 4: Simplify right side
    30,991x = 4,482,302,500
  5. Step 5: Solve for x
    x = 4,482,302,500/30,991
  6. Step 6: Final answer
    x = 144,632.39

Related Problems

Find third proportional to 15,495.50 and 33,475
Half scale
Find third proportional to 61,982 and 133,900
Double scale
Find third proportional to 30,993 and 66,954
Similar ratio
Find third proportional to 46,486.50 and 100,425
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.