Home / 189,622-406,231

Finding the Third Proportional to 189,622 and 406,231

Calculator

Solution

The third proportional to 189,622 and 406,231 is: 870,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,622 : 406,231 = 406,231 : x
  2. Step 2: Convert to fraction form
    189,622/406,231 = 406,231/x
  3. Step 3: Cross multiply
    189,622x = 406,231 × 406,231
  4. Step 4: Simplify right side
    189,622x = 165,023,625,361
  5. Step 5: Solve for x
    x = 165,023,625,361/189,622
  6. Step 6: Final answer
    x = 870,276.79

Related Problems

Find third proportional to 94,811 and 203,115.50
Half scale
Find third proportional to 379,244 and 812,462
Double scale
Find third proportional to 189,624 and 406,235
Similar ratio
Find third proportional to 284,433 and 609,346.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.