Home / 8,290-12,678

Finding the Third Proportional to 8,290 and 12,678

Calculator

Solution

The third proportional to 8,290 and 12,678 is: 19,388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290 : 12,678 = 12,678 : x
  2. Step 2: Convert to fraction form
    8,290/12,678 = 12,678/x
  3. Step 3: Cross multiply
    8,290x = 12,678 × 12,678
  4. Step 4: Simplify right side
    8,290x = 160,731,684
  5. Step 5: Solve for x
    x = 160,731,684/8,290
  6. Step 6: Final answer
    x = 19,388.62

Related Problems

Find third proportional to 4,145 and 6,339
Half scale
Find third proportional to 16,580 and 25,356
Double scale
Find third proportional to 8,292 and 12,681
Similar ratio
Find third proportional to 12,435 and 19,017
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.