Home / 8,649-9,921

Finding the Third Proportional to 8,649 and 9,921

Calculator

Solution

The third proportional to 8,649 and 9,921 is: 11,380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649 : 9,921 = 9,921 : x
  2. Step 2: Convert to fraction form
    8,649/9,921 = 9,921/x
  3. Step 3: Cross multiply
    8,649x = 9,921 × 9,921
  4. Step 4: Simplify right side
    8,649x = 98,426,241
  5. Step 5: Solve for x
    x = 98,426,241/8,649
  6. Step 6: Final answer
    x = 11,380.07

Related Problems

Find third proportional to 4,324.50 and 4,960.50
Half scale
Find third proportional to 17,298 and 19,842
Double scale
Find third proportional to 8,651 and 9,923
Similar ratio
Find third proportional to 12,973.50 and 14,881.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.