Home / 31,932-46,971

Finding the Third Proportional to 31,932 and 46,971

Calculator

Solution

The third proportional to 31,932 and 46,971 is: 69,092.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,932 : 46,971 = 46,971 : x
  2. Step 2: Convert to fraction form
    31,932/46,971 = 46,971/x
  3. Step 3: Cross multiply
    31,932x = 46,971 × 46,971
  4. Step 4: Simplify right side
    31,932x = 2,206,274,841
  5. Step 5: Solve for x
    x = 2,206,274,841/31,932
  6. Step 6: Final answer
    x = 69,092.91

Related Problems

Find third proportional to 15,966 and 23,485.50
Half scale
Find third proportional to 63,864 and 93,942
Double scale
Find third proportional to 31,934 and 46,974
Similar ratio
Find third proportional to 47,898 and 70,456.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.