Home / 66,491-146,464

Finding the Third Proportional to 66,491 and 146,464

Calculator

Solution

The third proportional to 66,491 and 146,464 is: 322,625.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,491 : 146,464 = 146,464 : x
  2. Step 2: Convert to fraction form
    66,491/146,464 = 146,464/x
  3. Step 3: Cross multiply
    66,491x = 146,464 × 146,464
  4. Step 4: Simplify right side
    66,491x = 21,451,703,296
  5. Step 5: Solve for x
    x = 21,451,703,296/66,491
  6. Step 6: Final answer
    x = 322,625.67

Related Problems

Find third proportional to 33,245.50 and 73,232
Half scale
Find third proportional to 132,982 and 292,928
Double scale
Find third proportional to 66,493 and 146,468
Similar ratio
Find third proportional to 99,736.50 and 219,696
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.