Home / 20,965-31,718

Finding the Third Proportional to 20,965 and 31,718

Calculator

Solution

The third proportional to 20,965 and 31,718 is: 47,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965 : 31,718 = 31,718 : x
  2. Step 2: Convert to fraction form
    20,965/31,718 = 31,718/x
  3. Step 3: Cross multiply
    20,965x = 31,718 × 31,718
  4. Step 4: Simplify right side
    20,965x = 1,006,031,524
  5. Step 5: Solve for x
    x = 1,006,031,524/20,965
  6. Step 6: Final answer
    x = 47,986.24

Related Problems

Find third proportional to 10,482.50 and 15,859
Half scale
Find third proportional to 41,930 and 63,436
Double scale
Find third proportional to 20,967 and 31,721
Similar ratio
Find third proportional to 31,447.50 and 47,577
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.