Home / 36,633-78,006

Finding the Third Proportional to 36,633 and 78,006

Calculator

Solution

The third proportional to 36,633 and 78,006 is: 166,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,633 : 78,006 = 78,006 : x
  2. Step 2: Convert to fraction form
    36,633/78,006 = 78,006/x
  3. Step 3: Cross multiply
    36,633x = 78,006 × 78,006
  4. Step 4: Simplify right side
    36,633x = 6,084,936,036
  5. Step 5: Solve for x
    x = 6,084,936,036/36,633
  6. Step 6: Final answer
    x = 166,105.32

Related Problems

Find third proportional to 18,316.50 and 39,003
Half scale
Find third proportional to 73,266 and 156,012
Double scale
Find third proportional to 36,635 and 78,010
Similar ratio
Find third proportional to 54,949.50 and 117,009
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.