Home / 185,419-431,350

Finding the Third Proportional to 185,419 and 431,350

Calculator

Solution

The third proportional to 185,419 and 431,350 is: 1,003,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,419 : 431,350 = 431,350 : x
  2. Step 2: Convert to fraction form
    185,419/431,350 = 431,350/x
  3. Step 3: Cross multiply
    185,419x = 431,350 × 431,350
  4. Step 4: Simplify right side
    185,419x = 186,062,822,500
  5. Step 5: Solve for x
    x = 186,062,822,500/185,419
  6. Step 6: Final answer
    x = 1,003,472.26

Related Problems

Find third proportional to 92,709.50 and 215,675
Half scale
Find third proportional to 370,838 and 862,700
Double scale
Find third proportional to 185,421 and 431,355
Similar ratio
Find third proportional to 278,128.50 and 647,025
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.