Home / 214,134-331,569

Finding the Third Proportional to 214,134 and 331,569

Calculator

Solution

The third proportional to 214,134 and 331,569 is: 513,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,134 : 331,569 = 331,569 : x
  2. Step 2: Convert to fraction form
    214,134/331,569 = 331,569/x
  3. Step 3: Cross multiply
    214,134x = 331,569 × 331,569
  4. Step 4: Simplify right side
    214,134x = 109,938,001,761
  5. Step 5: Solve for x
    x = 109,938,001,761/214,134
  6. Step 6: Final answer
    x = 513,407.50

Related Problems

Find third proportional to 107,067 and 165,784.50
Half scale
Find third proportional to 428,268 and 663,138
Double scale
Find third proportional to 214,136 and 331,572
Similar ratio
Find third proportional to 321,201 and 497,353.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.