Home / 20,821-31,231.50

Finding the Third Proportional to 20,821 and 31,231.50

Calculator

Solution

The third proportional to 20,821 and 31,231.50 is: 46,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,821 : 31,231.50 = 31,231.50 : x
  2. Step 2: Convert to fraction form
    20,821/31,231.50 = 31,231.50/x
  3. Step 3: Cross multiply
    20,821x = 31,231.50 × 31,231.50
  4. Step 4: Simplify right side
    20,821x = 975,406,592.25
  5. Step 5: Solve for x
    x = 975,406,592.25/20,821
  6. Step 6: Final answer
    x = 46,847.25

Related Problems

Find third proportional to 10,410.50 and 15,615.75
Half scale
Find third proportional to 41,642 and 62,463
Double scale
Find third proportional to 20,823 and 31,235
Similar ratio
Find third proportional to 31,231.50 and 46,847.25
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.