Home / 8,100-9,963

Finding the Third Proportional to 8,100 and 9,963

Calculator

Solution

The third proportional to 8,100 and 9,963 is: 12,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100 : 9,963 = 9,963 : x
  2. Step 2: Convert to fraction form
    8,100/9,963 = 9,963/x
  3. Step 3: Cross multiply
    8,100x = 9,963 × 9,963
  4. Step 4: Simplify right side
    8,100x = 99,261,369
  5. Step 5: Solve for x
    x = 99,261,369/8,100
  6. Step 6: Final answer
    x = 12,254.49

Related Problems

Find third proportional to 4,050 and 4,981.50
Half scale
Find third proportional to 16,200 and 19,926
Double scale
Find third proportional to 8,102 and 9,965
Similar ratio
Find third proportional to 12,150 and 14,944.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.