Home / 66,972-90,954

Finding the Third Proportional to 66,972 and 90,954

Calculator

Solution

The third proportional to 66,972 and 90,954 is: 123,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,972 : 90,954 = 90,954 : x
  2. Step 2: Convert to fraction form
    66,972/90,954 = 90,954/x
  3. Step 3: Cross multiply
    66,972x = 90,954 × 90,954
  4. Step 4: Simplify right side
    66,972x = 8,272,630,116
  5. Step 5: Solve for x
    x = 8,272,630,116/66,972
  6. Step 6: Final answer
    x = 123,523.71

Related Problems

Find third proportional to 33,486 and 45,477
Half scale
Find third proportional to 133,944 and 181,908
Double scale
Find third proportional to 66,974 and 90,957
Similar ratio
Find third proportional to 100,458 and 136,431
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.