Home / 7,382-8,102

Finding the Third Proportional to 7,382 and 8,102

Calculator

Solution

The third proportional to 7,382 and 8,102 is: 8,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382 : 8,102 = 8,102 : x
  2. Step 2: Convert to fraction form
    7,382/8,102 = 8,102/x
  3. Step 3: Cross multiply
    7,382x = 8,102 × 8,102
  4. Step 4: Simplify right side
    7,382x = 65,642,404
  5. Step 5: Solve for x
    x = 65,642,404/7,382
  6. Step 6: Final answer
    x = 8,892.22

Related Problems

Find third proportional to 3,691 and 4,051
Half scale
Find third proportional to 14,764 and 16,204
Double scale
Find third proportional to 7,384 and 8,104
Similar ratio
Find third proportional to 11,073 and 12,153
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.