Home / 66,969-146,785

Finding the Third Proportional to 66,969 and 146,785

Calculator

Solution

The third proportional to 66,969 and 146,785 is: 321,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,969 : 146,785 = 146,785 : x
  2. Step 2: Convert to fraction form
    66,969/146,785 = 146,785/x
  3. Step 3: Cross multiply
    66,969x = 146,785 × 146,785
  4. Step 4: Simplify right side
    66,969x = 21,545,836,225
  5. Step 5: Solve for x
    x = 21,545,836,225/66,969
  6. Step 6: Final answer
    x = 321,728.50

Related Problems

Find third proportional to 33,484.50 and 73,392.50
Half scale
Find third proportional to 133,938 and 293,570
Double scale
Find third proportional to 66,971 and 146,789
Similar ratio
Find third proportional to 100,453.50 and 220,177.50
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.