Home / 18,082-19,682

Finding the Third Proportional to 18,082 and 19,682

Calculator

Solution

The third proportional to 18,082 and 19,682 is: 21,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,082 : 19,682 = 19,682 : x
  2. Step 2: Convert to fraction form
    18,082/19,682 = 19,682/x
  3. Step 3: Cross multiply
    18,082x = 19,682 × 19,682
  4. Step 4: Simplify right side
    18,082x = 387,381,124
  5. Step 5: Solve for x
    x = 387,381,124/18,082
  6. Step 6: Final answer
    x = 21,423.58

Related Problems

Find third proportional to 9,041 and 9,841
Half scale
Find third proportional to 36,164 and 39,364
Double scale
Find third proportional to 18,084 and 19,684
Similar ratio
Find third proportional to 27,123 and 29,523
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.