Home / 20,933-31,399

Finding the Third Proportional to 20,933 and 31,399

Calculator

Solution

The third proportional to 20,933 and 31,399 is: 47,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,933 : 31,399 = 31,399 : x
  2. Step 2: Convert to fraction form
    20,933/31,399 = 31,399/x
  3. Step 3: Cross multiply
    20,933x = 31,399 × 31,399
  4. Step 4: Simplify right side
    20,933x = 985,897,201
  5. Step 5: Solve for x
    x = 985,897,201/20,933
  6. Step 6: Final answer
    x = 47,097.75

Related Problems

Find third proportional to 10,466.50 and 15,699.50
Half scale
Find third proportional to 41,866 and 62,798
Double scale
Find third proportional to 20,935 and 31,402
Similar ratio
Find third proportional to 31,399.50 and 47,098.50
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.