Home / 10,080-19,692

Finding the Third Proportional to 10,080 and 19,692

Calculator

Solution

The third proportional to 10,080 and 19,692 is: 38,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080 : 19,692 = 19,692 : x
  2. Step 2: Convert to fraction form
    10,080/19,692 = 19,692/x
  3. Step 3: Cross multiply
    10,080x = 19,692 × 19,692
  4. Step 4: Simplify right side
    10,080x = 387,774,864
  5. Step 5: Solve for x
    x = 387,774,864/10,080
  6. Step 6: Final answer
    x = 38,469.73

Related Problems

Find third proportional to 5,040 and 9,846
Half scale
Find third proportional to 20,160 and 39,384
Double scale
Find third proportional to 10,082 and 19,696
Similar ratio
Find third proportional to 15,120 and 29,538
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.