Home / 5,782-13,644

Finding the Third Proportional to 5,782 and 13,644

Calculator

Solution

The third proportional to 5,782 and 13,644 is: 32,196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782 : 13,644 = 13,644 : x
  2. Step 2: Convert to fraction form
    5,782/13,644 = 13,644/x
  3. Step 3: Cross multiply
    5,782x = 13,644 × 13,644
  4. Step 4: Simplify right side
    5,782x = 186,158,736
  5. Step 5: Solve for x
    x = 186,158,736/5,782
  6. Step 6: Final answer
    x = 32,196.25

Related Problems

Find third proportional to 2,891 and 6,822
Half scale
Find third proportional to 11,564 and 27,288
Double scale
Find third proportional to 5,784 and 13,649
Similar ratio
Find third proportional to 8,673 and 20,466
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.