Home / 8,102-12,693

Finding the Third Proportional to 8,102 and 12,693

Calculator

Solution

The third proportional to 8,102 and 12,693 is: 19,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102 : 12,693 = 12,693 : x
  2. Step 2: Convert to fraction form
    8,102/12,693 = 12,693/x
  3. Step 3: Cross multiply
    8,102x = 12,693 × 12,693
  4. Step 4: Simplify right side
    8,102x = 161,112,249
  5. Step 5: Solve for x
    x = 161,112,249/8,102
  6. Step 6: Final answer
    x = 19,885.49

Related Problems

Find third proportional to 4,051 and 6,346.50
Half scale
Find third proportional to 16,204 and 25,386
Double scale
Find third proportional to 8,104 and 12,696
Similar ratio
Find third proportional to 12,153 and 19,039.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.