Home / 13,702-19,582

Finding the Third Proportional to 13,702 and 19,582

Calculator

Solution

The third proportional to 13,702 and 19,582 is: 27,985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702 : 19,582 = 19,582 : x
  2. Step 2: Convert to fraction form
    13,702/19,582 = 19,582/x
  3. Step 3: Cross multiply
    13,702x = 19,582 × 19,582
  4. Step 4: Simplify right side
    13,702x = 383,454,724
  5. Step 5: Solve for x
    x = 383,454,724/13,702
  6. Step 6: Final answer
    x = 27,985.31

Related Problems

Find third proportional to 6,851 and 9,791
Half scale
Find third proportional to 27,404 and 39,164
Double scale
Find third proportional to 13,704 and 19,585
Similar ratio
Find third proportional to 20,553 and 29,373
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.