Home / 9,828-14,378

Finding the Third Proportional to 9,828 and 14,378

Calculator

Solution

The third proportional to 9,828 and 14,378 is: 21,034.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828 : 14,378 = 14,378 : x
  2. Step 2: Convert to fraction form
    9,828/14,378 = 14,378/x
  3. Step 3: Cross multiply
    9,828x = 14,378 × 14,378
  4. Step 4: Simplify right side
    9,828x = 206,726,884
  5. Step 5: Solve for x
    x = 206,726,884/9,828
  6. Step 6: Final answer
    x = 21,034.48

Related Problems

Find third proportional to 4,914 and 7,189
Half scale
Find third proportional to 19,656 and 28,756
Double scale
Find third proportional to 9,830 and 14,381
Similar ratio
Find third proportional to 14,742 and 21,567
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.