Home / 8,291-12,409

Finding the Third Proportional to 8,291 and 12,409

Calculator

Solution

The third proportional to 8,291 and 12,409 is: 18,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291 : 12,409 = 12,409 : x
  2. Step 2: Convert to fraction form
    8,291/12,409 = 12,409/x
  3. Step 3: Cross multiply
    8,291x = 12,409 × 12,409
  4. Step 4: Simplify right side
    8,291x = 153,983,281
  5. Step 5: Solve for x
    x = 153,983,281/8,291
  6. Step 6: Final answer
    x = 18,572.34

Related Problems

Find third proportional to 4,145.50 and 6,204.50
Half scale
Find third proportional to 16,582 and 24,818
Double scale
Find third proportional to 8,293 and 12,412
Similar ratio
Find third proportional to 12,436.50 and 18,613.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.