Home / 13,082-19,785

Finding the Third Proportional to 13,082 and 19,785

Calculator

Solution

The third proportional to 13,082 and 19,785 is: 29,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082 : 19,785 = 19,785 : x
  2. Step 2: Convert to fraction form
    13,082/19,785 = 19,785/x
  3. Step 3: Cross multiply
    13,082x = 19,785 × 19,785
  4. Step 4: Simplify right side
    13,082x = 391,446,225
  5. Step 5: Solve for x
    x = 391,446,225/13,082
  6. Step 6: Final answer
    x = 29,922.51

Related Problems

Find third proportional to 6,541 and 9,892.50
Half scale
Find third proportional to 26,164 and 39,570
Double scale
Find third proportional to 13,084 and 19,788
Similar ratio
Find third proportional to 19,623 and 29,677.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.