Home / 231,120-324,513

Finding the Third Proportional to 231,120 and 324,513

Calculator

Solution

The third proportional to 231,120 and 324,513 is: 455,645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,120 : 324,513 = 324,513 : x
  2. Step 2: Convert to fraction form
    231,120/324,513 = 324,513/x
  3. Step 3: Cross multiply
    231,120x = 324,513 × 324,513
  4. Step 4: Simplify right side
    231,120x = 105,308,687,169
  5. Step 5: Solve for x
    x = 105,308,687,169/231,120
  6. Step 6: Final answer
    x = 455,645.06

Related Problems

Find third proportional to 115,560 and 162,256.50
Half scale
Find third proportional to 462,240 and 649,026
Double scale
Find third proportional to 231,122 and 324,516
Similar ratio
Find third proportional to 346,680 and 486,769.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.