Home / 66,982-90,970

Finding the Third Proportional to 66,982 and 90,970

Calculator

Solution

The third proportional to 66,982 and 90,970 is: 123,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,982 : 90,970 = 90,970 : x
  2. Step 2: Convert to fraction form
    66,982/90,970 = 90,970/x
  3. Step 3: Cross multiply
    66,982x = 90,970 × 90,970
  4. Step 4: Simplify right side
    66,982x = 8,275,540,900
  5. Step 5: Solve for x
    x = 8,275,540,900/66,982
  6. Step 6: Final answer
    x = 123,548.73

Related Problems

Find third proportional to 33,491 and 45,485
Half scale
Find third proportional to 133,964 and 181,940
Double scale
Find third proportional to 66,984 and 90,973
Similar ratio
Find third proportional to 100,473 and 136,455
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.