Home / 5,100-8,178

Finding the Third Proportional to 5,100 and 8,178

Calculator

Solution

The third proportional to 5,100 and 8,178 is: 13,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100 : 8,178 = 8,178 : x
  2. Step 2: Convert to fraction form
    5,100/8,178 = 8,178/x
  3. Step 3: Cross multiply
    5,100x = 8,178 × 8,178
  4. Step 4: Simplify right side
    5,100x = 66,879,684
  5. Step 5: Solve for x
    x = 66,879,684/5,100
  6. Step 6: Final answer
    x = 13,113.66

Related Problems

Find third proportional to 2,550 and 4,089
Half scale
Find third proportional to 10,200 and 16,356
Double scale
Find third proportional to 5,102 and 8,181
Similar ratio
Find third proportional to 7,650 and 12,267
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.