Home / 13,412-17,641

Finding the Third Proportional to 13,412 and 17,641

Calculator

Solution

The third proportional to 13,412 and 17,641 is: 23,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412 : 17,641 = 17,641 : x
  2. Step 2: Convert to fraction form
    13,412/17,641 = 17,641/x
  3. Step 3: Cross multiply
    13,412x = 17,641 × 17,641
  4. Step 4: Simplify right side
    13,412x = 311,204,881
  5. Step 5: Solve for x
    x = 311,204,881/13,412
  6. Step 6: Final answer
    x = 23,203.47

Related Problems

Find third proportional to 6,706 and 8,820.50
Half scale
Find third proportional to 26,824 and 35,282
Double scale
Find third proportional to 13,414 and 17,644
Similar ratio
Find third proportional to 20,118 and 26,461.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.