Home / 30,996-66,822

Finding the Third Proportional to 30,996 and 66,822

Calculator

Solution

The third proportional to 30,996 and 66,822 is: 144,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996 : 66,822 = 66,822 : x
  2. Step 2: Convert to fraction form
    30,996/66,822 = 66,822/x
  3. Step 3: Cross multiply
    30,996x = 66,822 × 66,822
  4. Step 4: Simplify right side
    30,996x = 4,465,179,684
  5. Step 5: Solve for x
    x = 4,465,179,684/30,996
  6. Step 6: Final answer
    x = 144,056.64

Related Problems

Find third proportional to 15,498 and 33,411
Half scale
Find third proportional to 61,992 and 133,644
Double scale
Find third proportional to 30,998 and 66,826
Similar ratio
Find third proportional to 46,494 and 100,233
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.