Home / 5,748-13,634

Finding the Third Proportional to 5,748 and 13,634

Calculator

Solution

The third proportional to 5,748 and 13,634 is: 32,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748 : 13,634 = 13,634 : x
  2. Step 2: Convert to fraction form
    5,748/13,634 = 13,634/x
  3. Step 3: Cross multiply
    5,748x = 13,634 × 13,634
  4. Step 4: Simplify right side
    5,748x = 185,885,956
  5. Step 5: Solve for x
    x = 185,885,956/5,748
  6. Step 6: Final answer
    x = 32,339.24

Related Problems

Find third proportional to 2,874 and 6,817
Half scale
Find third proportional to 11,496 and 27,268
Double scale
Find third proportional to 5,750 and 13,639
Similar ratio
Find third proportional to 8,622 and 20,451
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.