Home / 9,900-21,324

Finding the Third Proportional to 9,900 and 21,324

Calculator

Solution

The third proportional to 9,900 and 21,324 is: 45,930.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900 : 21,324 = 21,324 : x
  2. Step 2: Convert to fraction form
    9,900/21,324 = 21,324/x
  3. Step 3: Cross multiply
    9,900x = 21,324 × 21,324
  4. Step 4: Simplify right side
    9,900x = 454,712,976
  5. Step 5: Solve for x
    x = 454,712,976/9,900
  6. Step 6: Final answer
    x = 45,930.60

Related Problems

Find third proportional to 4,950 and 10,662
Half scale
Find third proportional to 19,800 and 42,648
Double scale
Find third proportional to 9,902 and 21,328
Similar ratio
Find third proportional to 14,850 and 31,986
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.