Home / 9,854-16,420

Finding the Third Proportional to 9,854 and 16,420

Calculator

Solution

The third proportional to 9,854 and 16,420 is: 27,361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854 : 16,420 = 16,420 : x
  2. Step 2: Convert to fraction form
    9,854/16,420 = 16,420/x
  3. Step 3: Cross multiply
    9,854x = 16,420 × 16,420
  4. Step 4: Simplify right side
    9,854x = 269,616,400
  5. Step 5: Solve for x
    x = 269,616,400/9,854
  6. Step 6: Final answer
    x = 27,361.11

Related Problems

Find third proportional to 4,927 and 8,210
Half scale
Find third proportional to 19,708 and 32,840
Double scale
Find third proportional to 9,856 and 16,423
Similar ratio
Find third proportional to 14,781 and 24,630
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.