Home / 85,730-188,427

Finding the Third Proportional to 85,730 and 188,427

Calculator

Solution

The third proportional to 85,730 and 188,427 is: 414,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,730 : 188,427 = 188,427 : x
  2. Step 2: Convert to fraction form
    85,730/188,427 = 188,427/x
  3. Step 3: Cross multiply
    85,730x = 188,427 × 188,427
  4. Step 4: Simplify right side
    85,730x = 35,504,734,329
  5. Step 5: Solve for x
    x = 35,504,734,329/85,730
  6. Step 6: Final answer
    x = 414,145.97

Related Problems

Find third proportional to 42,865 and 94,213.50
Half scale
Find third proportional to 171,460 and 376,854
Double scale
Find third proportional to 85,732 and 188,431
Similar ratio
Find third proportional to 128,595 and 282,640.50
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.