Home / 296,159-422,086

Finding the Third Proportional to 296,159 and 422,086

Calculator

Solution

The third proportional to 296,159 and 422,086 is: 601,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,159 : 422,086 = 422,086 : x
  2. Step 2: Convert to fraction form
    296,159/422,086 = 422,086/x
  3. Step 3: Cross multiply
    296,159x = 422,086 × 422,086
  4. Step 4: Simplify right side
    296,159x = 178,156,591,396
  5. Step 5: Solve for x
    x = 178,156,591,396/296,159
  6. Step 6: Final answer
    x = 601,557.24

Related Problems

Find third proportional to 148,079.50 and 211,043
Half scale
Find third proportional to 592,318 and 844,172
Double scale
Find third proportional to 296,161 and 422,089
Similar ratio
Find third proportional to 444,238.50 and 633,129
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.