Home / 12,082-14,242

Finding the Third Proportional to 12,082 and 14,242

Calculator

Solution

The third proportional to 12,082 and 14,242 is: 16,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082 : 14,242 = 14,242 : x
  2. Step 2: Convert to fraction form
    12,082/14,242 = 14,242/x
  3. Step 3: Cross multiply
    12,082x = 14,242 × 14,242
  4. Step 4: Simplify right side
    12,082x = 202,834,564
  5. Step 5: Solve for x
    x = 202,834,564/12,082
  6. Step 6: Final answer
    x = 16,788.16

Related Problems

Find third proportional to 6,041 and 7,121
Half scale
Find third proportional to 24,164 and 28,484
Double scale
Find third proportional to 12,084 and 14,244
Similar ratio
Find third proportional to 18,123 and 21,363
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.