Home / 7,812-16,584

Finding the Third Proportional to 7,812 and 16,584

Calculator

Solution

The third proportional to 7,812 and 16,584 is: 35,205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812 : 16,584 = 16,584 : x
  2. Step 2: Convert to fraction form
    7,812/16,584 = 16,584/x
  3. Step 3: Cross multiply
    7,812x = 16,584 × 16,584
  4. Step 4: Simplify right side
    7,812x = 275,029,056
  5. Step 5: Solve for x
    x = 275,029,056/7,812
  6. Step 6: Final answer
    x = 35,205.97

Related Problems

Find third proportional to 3,906 and 8,292
Half scale
Find third proportional to 15,624 and 33,168
Double scale
Find third proportional to 7,814 and 16,588
Similar ratio
Find third proportional to 11,718 and 24,876
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.