Home / 13,006-19,598

Finding the Third Proportional to 13,006 and 19,598

Calculator

Solution

The third proportional to 13,006 and 19,598 is: 29,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006 : 19,598 = 19,598 : x
  2. Step 2: Convert to fraction form
    13,006/19,598 = 19,598/x
  3. Step 3: Cross multiply
    13,006x = 19,598 × 19,598
  4. Step 4: Simplify right side
    13,006x = 384,081,604
  5. Step 5: Solve for x
    x = 384,081,604/13,006
  6. Step 6: Final answer
    x = 29,531.11

Related Problems

Find third proportional to 6,503 and 9,799
Half scale
Find third proportional to 26,012 and 39,196
Double scale
Find third proportional to 13,008 and 19,601
Similar ratio
Find third proportional to 19,509 and 29,397
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.