Home / 72,652-109,397

Finding the Third Proportional to 72,652 and 109,397

Calculator

Solution

The third proportional to 72,652 and 109,397 is: 164,726.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,652 : 109,397 = 109,397 : x
  2. Step 2: Convert to fraction form
    72,652/109,397 = 109,397/x
  3. Step 3: Cross multiply
    72,652x = 109,397 × 109,397
  4. Step 4: Simplify right side
    72,652x = 11,967,703,609
  5. Step 5: Solve for x
    x = 11,967,703,609/72,652
  6. Step 6: Final answer
    x = 164,726.42

Related Problems

Find third proportional to 36,326 and 54,698.50
Half scale
Find third proportional to 145,304 and 218,794
Double scale
Find third proportional to 72,654 and 109,400
Similar ratio
Find third proportional to 108,978 and 164,095.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.