Home / 8,110-12,523

Finding the Third Proportional to 8,110 and 12,523

Calculator

Solution

The third proportional to 8,110 and 12,523 is: 19,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110 : 12,523 = 12,523 : x
  2. Step 2: Convert to fraction form
    8,110/12,523 = 12,523/x
  3. Step 3: Cross multiply
    8,110x = 12,523 × 12,523
  4. Step 4: Simplify right side
    8,110x = 156,825,529
  5. Step 5: Solve for x
    x = 156,825,529/8,110
  6. Step 6: Final answer
    x = 19,337.30

Related Problems

Find third proportional to 4,055 and 6,261.50
Half scale
Find third proportional to 16,220 and 25,046
Double scale
Find third proportional to 8,112 and 12,526
Similar ratio
Find third proportional to 12,165 and 18,784.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.