Home / 13,902-23,085

Finding the Third Proportional to 13,902 and 23,085

Calculator

Solution

The third proportional to 13,902 and 23,085 is: 38,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902 : 23,085 = 23,085 : x
  2. Step 2: Convert to fraction form
    13,902/23,085 = 23,085/x
  3. Step 3: Cross multiply
    13,902x = 23,085 × 23,085
  4. Step 4: Simplify right side
    13,902x = 532,917,225
  5. Step 5: Solve for x
    x = 532,917,225/13,902
  6. Step 6: Final answer
    x = 38,333.85

Related Problems

Find third proportional to 6,951 and 11,542.50
Half scale
Find third proportional to 27,804 and 46,170
Double scale
Find third proportional to 13,904 and 23,088
Similar ratio
Find third proportional to 20,853 and 34,627.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.