Home / 72,003-108,004

Finding the Third Proportional to 72,003 and 108,004

Calculator

Solution

The third proportional to 72,003 and 108,004 is: 162,005.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,003 : 108,004 = 108,004 : x
  2. Step 2: Convert to fraction form
    72,003/108,004 = 108,004/x
  3. Step 3: Cross multiply
    72,003x = 108,004 × 108,004
  4. Step 4: Simplify right side
    72,003x = 11,664,864,016
  5. Step 5: Solve for x
    x = 11,664,864,016/72,003
  6. Step 6: Final answer
    x = 162,005.25

Related Problems

Find third proportional to 36,001.50 and 54,002
Half scale
Find third proportional to 144,006 and 216,008
Double scale
Find third proportional to 72,005 and 108,007
Similar ratio
Find third proportional to 108,004.50 and 162,006
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.