Home / 75,889-109,320

Finding the Third Proportional to 75,889 and 109,320

Calculator

Solution

The third proportional to 75,889 and 109,320 is: 157,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,889 : 109,320 = 109,320 : x
  2. Step 2: Convert to fraction form
    75,889/109,320 = 109,320/x
  3. Step 3: Cross multiply
    75,889x = 109,320 × 109,320
  4. Step 4: Simplify right side
    75,889x = 11,950,862,400
  5. Step 5: Solve for x
    x = 11,950,862,400/75,889
  6. Step 6: Final answer
    x = 157,478.19

Related Problems

Find third proportional to 37,944.50 and 54,660
Half scale
Find third proportional to 151,778 and 218,640
Double scale
Find third proportional to 75,891 and 109,323
Similar ratio
Find third proportional to 113,833.50 and 163,980
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.