Home / 13,384-20,817

Finding the Third Proportional to 13,384 and 20,817

Calculator

Solution

The third proportional to 13,384 and 20,817 is: 32,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384 : 20,817 = 20,817 : x
  2. Step 2: Convert to fraction form
    13,384/20,817 = 20,817/x
  3. Step 3: Cross multiply
    13,384x = 20,817 × 20,817
  4. Step 4: Simplify right side
    13,384x = 433,347,489
  5. Step 5: Solve for x
    x = 433,347,489/13,384
  6. Step 6: Final answer
    x = 32,378.03

Related Problems

Find third proportional to 6,692 and 10,408.50
Half scale
Find third proportional to 26,768 and 41,634
Double scale
Find third proportional to 13,386 and 20,820
Similar ratio
Find third proportional to 20,076 and 31,225.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.