Home / 9,500-20,854

Finding the Third Proportional to 9,500 and 20,854

Calculator

Solution

The third proportional to 9,500 and 20,854 is: 45,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500 : 20,854 = 20,854 : x
  2. Step 2: Convert to fraction form
    9,500/20,854 = 20,854/x
  3. Step 3: Cross multiply
    9,500x = 20,854 × 20,854
  4. Step 4: Simplify right side
    9,500x = 434,889,316
  5. Step 5: Solve for x
    x = 434,889,316/9,500
  6. Step 6: Final answer
    x = 45,777.82

Related Problems

Find third proportional to 4,750 and 10,427
Half scale
Find third proportional to 19,000 and 41,708
Double scale
Find third proportional to 9,502 and 20,858
Similar ratio
Find third proportional to 14,250 and 31,281
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.