Home / 12,078-14,184

Finding the Third Proportional to 12,078 and 14,184

Calculator

Solution

The third proportional to 12,078 and 14,184 is: 16,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078 : 14,184 = 14,184 : x
  2. Step 2: Convert to fraction form
    12,078/14,184 = 14,184/x
  3. Step 3: Cross multiply
    12,078x = 14,184 × 14,184
  4. Step 4: Simplify right side
    12,078x = 201,185,856
  5. Step 5: Solve for x
    x = 201,185,856/12,078
  6. Step 6: Final answer
    x = 16,657.22

Related Problems

Find third proportional to 6,039 and 7,092
Half scale
Find third proportional to 24,156 and 28,368
Double scale
Find third proportional to 12,080 and 14,186
Similar ratio
Find third proportional to 18,117 and 21,276
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.