Home / 5,800-13,420

Finding the Third Proportional to 5,800 and 13,420

Calculator

Solution

The third proportional to 5,800 and 13,420 is: 31,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800 : 13,420 = 13,420 : x
  2. Step 2: Convert to fraction form
    5,800/13,420 = 13,420/x
  3. Step 3: Cross multiply
    5,800x = 13,420 × 13,420
  4. Step 4: Simplify right side
    5,800x = 180,096,400
  5. Step 5: Solve for x
    x = 180,096,400/5,800
  6. Step 6: Final answer
    x = 31,051.10

Related Problems

Find third proportional to 2,900 and 6,710
Half scale
Find third proportional to 11,600 and 26,840
Double scale
Find third proportional to 5,802 and 13,425
Similar ratio
Find third proportional to 8,700 and 20,130
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.