Home / 8,178-9,942

Finding the Third Proportional to 8,178 and 9,942

Calculator

Solution

The third proportional to 8,178 and 9,942 is: 12,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178 : 9,942 = 9,942 : x
  2. Step 2: Convert to fraction form
    8,178/9,942 = 9,942/x
  3. Step 3: Cross multiply
    8,178x = 9,942 × 9,942
  4. Step 4: Simplify right side
    8,178x = 98,843,364
  5. Step 5: Solve for x
    x = 98,843,364/8,178
  6. Step 6: Final answer
    x = 12,086.50

Related Problems

Find third proportional to 4,089 and 4,971
Half scale
Find third proportional to 16,356 and 19,884
Double scale
Find third proportional to 8,180 and 9,944
Similar ratio
Find third proportional to 12,267 and 14,913
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.