Home / 20,954-31,431

Finding the Third Proportional to 20,954 and 31,431

Calculator

Solution

The third proportional to 20,954 and 31,431 is: 47,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954 : 31,431 = 31,431 : x
  2. Step 2: Convert to fraction form
    20,954/31,431 = 31,431/x
  3. Step 3: Cross multiply
    20,954x = 31,431 × 31,431
  4. Step 4: Simplify right side
    20,954x = 987,907,761
  5. Step 5: Solve for x
    x = 987,907,761/20,954
  6. Step 6: Final answer
    x = 47,146.50

Related Problems

Find third proportional to 10,477 and 15,715.50
Half scale
Find third proportional to 41,908 and 62,862
Double scale
Find third proportional to 20,956 and 31,434
Similar ratio
Find third proportional to 31,431 and 47,146.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.