Home / 66,759-146,631

Finding the Third Proportional to 66,759 and 146,631

Calculator

Solution

The third proportional to 66,759 and 146,631 is: 322,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,759 : 146,631 = 146,631 : x
  2. Step 2: Convert to fraction form
    66,759/146,631 = 146,631/x
  3. Step 3: Cross multiply
    66,759x = 146,631 × 146,631
  4. Step 4: Simplify right side
    66,759x = 21,500,650,161
  5. Step 5: Solve for x
    x = 21,500,650,161/66,759
  6. Step 6: Final answer
    x = 322,063.69

Related Problems

Find third proportional to 33,379.50 and 73,315.50
Half scale
Find third proportional to 133,518 and 293,262
Double scale
Find third proportional to 66,761 and 146,635
Similar ratio
Find third proportional to 100,138.50 and 219,946.50
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.