Home / 66,984-90,973

Finding the Third Proportional to 66,984 and 90,973

Calculator

Solution

The third proportional to 66,984 and 90,973 is: 123,553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,984 : 90,973 = 90,973 : x
  2. Step 2: Convert to fraction form
    66,984/90,973 = 90,973/x
  3. Step 3: Cross multiply
    66,984x = 90,973 × 90,973
  4. Step 4: Simplify right side
    66,984x = 8,276,086,729
  5. Step 5: Solve for x
    x = 8,276,086,729/66,984
  6. Step 6: Final answer
    x = 123,553.19

Related Problems

Find third proportional to 33,492 and 45,486.50
Half scale
Find third proportional to 133,968 and 181,946
Double scale
Find third proportional to 66,986 and 90,976
Similar ratio
Find third proportional to 100,476 and 136,459.50
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.