Home / 30,198-66,231

Finding the Third Proportional to 30,198 and 66,231

Calculator

Solution

The third proportional to 30,198 and 66,231 is: 145,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198 : 66,231 = 66,231 : x
  2. Step 2: Convert to fraction form
    30,198/66,231 = 66,231/x
  3. Step 3: Cross multiply
    30,198x = 66,231 × 66,231
  4. Step 4: Simplify right side
    30,198x = 4,386,545,361
  5. Step 5: Solve for x
    x = 4,386,545,361/30,198
  6. Step 6: Final answer
    x = 145,259.47

Related Problems

Find third proportional to 15,099 and 33,115.50
Half scale
Find third proportional to 60,396 and 132,462
Double scale
Find third proportional to 30,200 and 66,235
Similar ratio
Find third proportional to 45,297 and 99,346.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.