Home / 5,648-13,000

Finding the Third Proportional to 5,648 and 13,000

Calculator

Solution

The third proportional to 5,648 and 13,000 is: 29,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648 : 13,000 = 13,000 : x
  2. Step 2: Convert to fraction form
    5,648/13,000 = 13,000/x
  3. Step 3: Cross multiply
    5,648x = 13,000 × 13,000
  4. Step 4: Simplify right side
    5,648x = 169,000,000
  5. Step 5: Solve for x
    x = 169,000,000/5,648
  6. Step 6: Final answer
    x = 29,922.10

Related Problems

Find third proportional to 2,824 and 6,500
Half scale
Find third proportional to 11,296 and 26,000
Double scale
Find third proportional to 5,650 and 13,005
Similar ratio
Find third proportional to 8,472 and 19,500
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.