Home / 5,980-13,638

Finding the Third Proportional to 5,980 and 13,638

Calculator

Solution

The third proportional to 5,980 and 13,638 is: 31,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980 : 13,638 = 13,638 : x
  2. Step 2: Convert to fraction form
    5,980/13,638 = 13,638/x
  3. Step 3: Cross multiply
    5,980x = 13,638 × 13,638
  4. Step 4: Simplify right side
    5,980x = 185,995,044
  5. Step 5: Solve for x
    x = 185,995,044/5,980
  6. Step 6: Final answer
    x = 31,102.85

Related Problems

Find third proportional to 2,990 and 6,819
Half scale
Find third proportional to 11,960 and 27,276
Double scale
Find third proportional to 5,982 and 13,643
Similar ratio
Find third proportional to 8,970 and 20,457
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.