Home / 9,200-19,840

Finding the Third Proportional to 9,200 and 19,840

Calculator

Solution

The third proportional to 9,200 and 19,840 is: 42,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200 : 19,840 = 19,840 : x
  2. Step 2: Convert to fraction form
    9,200/19,840 = 19,840/x
  3. Step 3: Cross multiply
    9,200x = 19,840 × 19,840
  4. Step 4: Simplify right side
    9,200x = 393,625,600
  5. Step 5: Solve for x
    x = 393,625,600/9,200
  6. Step 6: Final answer
    x = 42,785.39

Related Problems

Find third proportional to 4,600 and 9,920
Half scale
Find third proportional to 18,400 and 39,680
Double scale
Find third proportional to 9,202 and 19,844
Similar ratio
Find third proportional to 13,800 and 29,760
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.