Home / 20,431-31,241

Finding the Third Proportional to 20,431 and 31,241

Calculator

Solution

The third proportional to 20,431 and 31,241 is: 47,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431 : 31,241 = 31,241 : x
  2. Step 2: Convert to fraction form
    20,431/31,241 = 31,241/x
  3. Step 3: Cross multiply
    20,431x = 31,241 × 31,241
  4. Step 4: Simplify right side
    20,431x = 976,000,081
  5. Step 5: Solve for x
    x = 976,000,081/20,431
  6. Step 6: Final answer
    x = 47,770.55

Related Problems

Find third proportional to 10,215.50 and 15,620.50
Half scale
Find third proportional to 40,862 and 62,482
Double scale
Find third proportional to 20,433 and 31,244
Similar ratio
Find third proportional to 30,646.50 and 46,861.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.