Home / 8,136-9,972

Finding the Third Proportional to 8,136 and 9,972

Calculator

Solution

The third proportional to 8,136 and 9,972 is: 12,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136 : 9,972 = 9,972 : x
  2. Step 2: Convert to fraction form
    8,136/9,972 = 9,972/x
  3. Step 3: Cross multiply
    8,136x = 9,972 × 9,972
  4. Step 4: Simplify right side
    8,136x = 99,440,784
  5. Step 5: Solve for x
    x = 99,440,784/8,136
  6. Step 6: Final answer
    x = 12,222.32

Related Problems

Find third proportional to 4,068 and 4,986
Half scale
Find third proportional to 16,272 and 19,944
Double scale
Find third proportional to 8,138 and 9,974
Similar ratio
Find third proportional to 12,204 and 14,958
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.