Home / 8,420-13,046

Finding the Third Proportional to 8,420 and 13,046

Calculator

Solution

The third proportional to 8,420 and 13,046 is: 20,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420 : 13,046 = 13,046 : x
  2. Step 2: Convert to fraction form
    8,420/13,046 = 13,046/x
  3. Step 3: Cross multiply
    8,420x = 13,046 × 13,046
  4. Step 4: Simplify right side
    8,420x = 170,198,116
  5. Step 5: Solve for x
    x = 170,198,116/8,420
  6. Step 6: Final answer
    x = 20,213.55

Related Problems

Find third proportional to 4,210 and 6,523
Half scale
Find third proportional to 16,840 and 26,092
Double scale
Find third proportional to 8,422 and 13,049
Similar ratio
Find third proportional to 12,630 and 19,569
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.