Home / 5,865-8,382

Finding the Third Proportional to 5,865 and 8,382

Calculator

Solution

The third proportional to 5,865 and 8,382 is: 11,979.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865 : 8,382 = 8,382 : x
  2. Step 2: Convert to fraction form
    5,865/8,382 = 8,382/x
  3. Step 3: Cross multiply
    5,865x = 8,382 × 8,382
  4. Step 4: Simplify right side
    5,865x = 70,257,924
  5. Step 5: Solve for x
    x = 70,257,924/5,865
  6. Step 6: Final answer
    x = 11,979.19

Related Problems

Find third proportional to 2,932.50 and 4,191
Half scale
Find third proportional to 11,730 and 16,764
Double scale
Find third proportional to 5,867 and 8,385
Similar ratio
Find third proportional to 8,797.50 and 12,573
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.